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Verificationism

Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

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Page 1: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Verificationism

Page 2: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Logical Positivism

Page 3: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Classical Empiricism

Last time we learned about the idea theory.

Although it wasn’t confined to the empiricists, most of the important ones– Locke, Berkeley, and Hume– believed in it.

Page 4: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Classical Empiricism

“All ideas come from experience.”

“All knowledge comes from experience.”

“All ideas and all knowledge come from experience.”

Page 5: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Classical Empricism

Empiricism had its problems, in addition to those that the idea theory suffered from:

Modal Knowledge: Experience tells you what is, not what must be/ should be/ will be. Yet we can know some of these things.

Poverty of the Stimulus: We figure out things like language use faster than experience is capable of teaching us. This suggests innateness.

Page 6: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Positivism

The French philosopher/ first Western sociologist Isidore Auguste Marie François Xavier Comte (1798-1857) theorized that society progressed in three stages: 1. Theological2. Metaphysical3. Positive

Page 7: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Theological Stage

In the theological stage, people believe any silly or magical thing their ancestors attributed to the gods.

Page 8: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Metaphysical Stage

Next, in the metaphysical stage gods go out of the picture, but are replaced with unjustified “metaphysical” assumptions.

Example: universal human rights.

Page 9: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Positivism

Finally, in the positive stage, the truth of our beliefs is “positively” determined.

For Compte, science was the only source of positive determination.

Page 10: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Logical Positivism

Around the 1920’s in Vienna and Berlin certain philosophical doctrines became popular, and their adherents were variously known as Logical Empiricists or Logical Positivists or sometimes neo-Positivists.

Page 11: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,
Page 12: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Empiricist Criterion of Cognitive Significance

According to the logical positivists, in order for a sentence to have cognitive significance (to be meaningful), it had to have verification conditions.

Page 13: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Empiricist Criterion of Cognitive Significance

‘Verification’ is a Latinate English word < ‘veri-’ true + ‘facere’ to make.

Verification conditions are conditions under which the truth of a statement can be conclusively established.

Page 14: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Example: “The House is on Fire”

Page 15: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Empiricist Criterion of Cognitive Significance

In fact, the positivists maintained that the meaning of a sentence was its verification conditions.

So a sentence with no verification conditions– where no experience can establish its truth– is meaningless.

Page 16: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Truth vs. Verification

Many philosophers (even today) have identified the meaning of a sentence with its truth conditions. These are the circumstances in which the sentence would be true.

But the positivists went farther– they held that the meaning of a sentence was its verification conditions– the circumstances in which we would know the sentence was true.

Page 17: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Elimination of Metaphysics

This was part of a radical philosophical agenda, which included “the elimination of metaphysics.”

The idea was to view many philosophical problems of the past (and also many religious claims) as meaningless disputes that could simply be ignored.

Page 18: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Anti-Religion

Example: In a religion where God is beyond human experience, the positivists would say that “God exists” is neither true nor false but meaningless, since no experience could verify it.

Page 19: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Anti-MetaphysicsKant, Hegel, and Heidegger were also big targets for the positivists.

Example Hegel quote:

“But the other side of its Becoming, History, is a conscious, self-meditating process — Spirit emptied out into Time.”

Page 20: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Elimination of Metaphysics

The positivists even wanted to eliminate a lot of more down-to-Earth metaphysics:

Modality: We can only experience what is, not what could possibly be. So statements about what is (merely) possible are meaningless.

Normativity: We can only experience what is, not what should morally be. So statements about what is good or bad are meaningless.

Page 21: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Metaphysics! Metaphysics!

Page 22: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The new science: relativity and quantum mechanics

Page 23: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The New Science

There was also a scientific impetus to logical positivism (beyond the just pro-science message of positivism).

Kant influentially held that Euclidean geometry was synthetic a priori, and that our experience must be as of a Euclidean spacetime. But the Minkowski spacetime in relativity is non-Euclidean.

Page 24: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,
Page 25: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Einstein

How do you respond to opponents (classical physics) that think their theory is knowable in advance of any argument or evidence?

Page 26: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Einstein

Einstein responded by operationalizing: imagining rigid rods extending in all directions, and clocks at various points.

That is, his arguments were couched in terms of what you could measure or experience (rather than straightforwardly in terms of what was true).

Page 27: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Twins Paradox

Page 28: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Quantum Mechanics

Quantum mechanics also had metaphysical problems of its own. Several counterintuitive experiments seemed to suggest that the basic laws of the universe were not quite consistent with the laws of logic.

Page 29: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Quantum Mechanics

This led some physicists to simply deny that there were questions to be answered beyond “what do we observe/ experience?”– no questions like “what is the reality causing the appearances?”

Page 30: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,
Page 31: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Verificationist Semantics

Page 32: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Empiricist Semantics

According to the positivists, the elimination of metaphysics followed from the correct account of meaning.

When we understood that meaning = verification conditions, then we would see that ‘the Absolute is perfect’ or ‘God exists’ can’t possibly have meanings.

Then we would be free to look into more promising, resolvable philosophical questions.

Page 33: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Observation Sentences

We single out a certain, small set of sentences to be the “protocol” or “observation” sentences. These sentences are all very simple syntactically, along the lines of: ‘that is red.’

Page 34: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Immediate ExperienceRED

PAIN

LOUD

THREE

Page 35: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

TABLE DOG

MOUNTAIN CHAIR

Page 36: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Observation Sentences

The importance of the observation sentences is that they can be immediately verified.

To tell whether ‘that is red’ is verified (is true), you just have to look.

Page 37: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Non-Observation Sentences

All the other meaningful sentences (according to the verificationist) are defined in terms of the protocol sentences and the logical vocabulary (AND, OR, NOT, ALL, SOME, NO, etc.).

Page 38: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Definition of ‘Arthropod’

Example

‘That is an arthropod’ :=def

That is an animal AND it has a jointed body AND it has segmented legs.

Page 39: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Non-Observation Sentences

Obviously these sorts of definitions work best with scientific terminology like ‘arthropod,’ but the positivists were happy with that.

It could turn out that much of our ordinary talk was not strictly speaking meaningful, but needed to be regimented in a more scientific language.

Page 40: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Observation Sentences

There was some measure of debate among the positivists regarding which sentences actually qualified as observation sentences.

The simpler the qualities they are about (e.g. ‘that is red’ ‘that is warm’ ‘this is joy’) the easier it is to argue that they can be verified immediately, but the harder it is to define the rest of the sentences.

Page 41: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Observation Sentences

Try defining “CY Leung is the chief executive of Hong Kong” in terms of what things are red, warm, joy, etc.!

Page 42: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Observation Sentences

On the other hand, it’s easier to define more abstract things if we let sentences like ‘That is a chair’ or ‘That is a person’ be observation sentences.

However, can these things really be immediately verified?

Page 43: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Our observations don’t seem to guarantee that something is a gorilla (it might be a man in a costume, or the reflection of a gorilla, or…)

Page 44: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Aufbau

In the Aufbau (The Logical Structure of the World), Carnap undertook an ambitious project to outline how one could translate all “high-level” talk (e.g. “the train to Vienna is running late”) into talk about sensations at coordinate points in the visual field (“quality q is at point-instant x;y;z;t”

Page 45: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Verificationist Semantics

So here’s the picture: #1. The meaning of a sentence is the set of experiences that would verify it.#2. Observation sentences are directly connected with their verification conditions: we can immediately tell whether they are verified in any particular circumstance.#3. Non-observation sentences inherit their verification conditions from the observation sentences they are logically constructed out of.

Page 46: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Special Exception

One exception was made: logic and mathematics were held to be meaningful, even though its hard to state (for example) what experiences would confirm “2 + 2 = 4.”

Page 47: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Comparison with the Idea Theory

Page 48: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Idea Theory

Here were the essential parts of the idea theory:

1. Words and sentences are the visible, conventional signs of ideas.2. Ideas represent things in the world by resembling (non-

conventional) them.3. We can treat the meaning of a word as either the idea it is a sign of,

or the thing that idea represents (it doesn’t really matter).

Page 49: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Mind Idea of a Dagger

Dagger

Resembles

Sees

“Dagger”

Represents

Page 50: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Verificationism

Verificationism is similar.

1. A word or a sentence was conventionally associated with a set of experiences.

2. Those experiences verify (“make true,” a non-conventional relation) that things in the world are a certain way because of a perfect correlation between the experiences and the states they verify.

3. The meaning of a sentence is the set of experiences that verify it.

Page 51: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Mind Idea of a Dagger

Dagger

Verifies

Experiences

“Dagger”

Represents

Page 52: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Representation is Not an Equivalence Relation

A main problem for the idea theory was its identification of representation with resemblance.

While resemblance is an equivalence relation (reflexive, symmetric, and transitive), representation is not.

Page 53: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Reflexivity

But the verificationist thinks that the meaning of a sentence is the experience(s) that would verify it.

Thus it follows (correctly) that most sentences do not represent themselves, because most sentences don’t verify themselves (exception: the sentence “This is a sentence”).

Page 54: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Abstract Concepts

Idea theorists, as we saw, also had a problem with abstract ideas, as no picture equally resembles a fat man and a skinny man.

Page 55: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Abstract Concepts

For the verificationist, the meaning of ‘there is a fire’ was the collection of experiences that would verify it.

However, these experiences need not share any features, and they need not resemble what they represent.

Page 56: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

“Fire”

Page 57: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Problem #1 Eliminated Too Little

Page 58: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The verificationists are largely thought to have eliminated too much.

Page 59: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Too Little is Meaningless

First, one argument that they eliminated too little!

The logical empiricists wanted to say that sentences like “The Absolute is Perfect” and “God exists” are meaningless.

Page 60: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Too Little Is Meaningless

But consider:

• “Either some socks are cotton or the Absolute is Perfect.”• “Either God exists or snow is

purple.”

They clearly have conditions that would verify them.

Page 61: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Too Much Is Meaningless

A bigger focus of criticism, however, was that according too the verifiability criterion, too much is meaningless, including:

1. Statements about theoretical entities.2. Statements about the past or future.3. Negative existentials.4. Positive universals.5. Certain positivist doctrines.

Page 62: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Problem #2 Theoretical Entities

Page 63: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Theoretical Concepts

Verificationism was thought to have particular trouble with theoretical concepts (that is, with representing theoretical entities) like electrons or DNA.

Page 64: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Verificationism vs. Theoretical EntitiesThese are called “theoretical entities” because we can’t observe them directly, but their existence is confirmed by their characteristic effects as described by our scientific theories.

Example: effects of charged particles in cloud chambers.

Page 65: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Verificationism vs. Theoretical Entities

The positivist can say that the behavior of the gas in the cloud chamber verified the existence of electrons, even though it didn’t resemble them.

Page 66: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Problem

The problem was that the meanings of scientific terms was supposed to be fixed in advance.

Yet for many theoretical terms, it took years or decades after their introduction for us to discover any way of verifying claims about them.

Page 67: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Problem

Consider the claim:

“DNA has a double-helical structure.”

This claim seems to be meaningful.

Page 68: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Problem

But Watson and Crick had to discover how to verify it.

Page 69: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Problem

So positivism seems to suggest that claims about DNA, electrons, positrons, Higgs Bosons, or whatever did not mean anything until we discovered ways of verifying them.

At that time we discovered their meanings.

Page 70: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Problem #3 Statements about the Past and the Future

Page 71: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Statements about the Past/ Future

One objection to the verifiability criterion was that it made statements about the distant past or the distant future meaningless, since there is no way of verifying them.

Page 72: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Statements about the Past

“T. Rex had a blue tongue”

Page 73: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Statements about the Future

“Hats will be popular among the first humans that colonize Alpha Centauri.”

Page 74: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

A Confusion

This objection is a little bit confused. Positivists don’t claim that for any meaningful sentence, there actually exists evidence you could find that would (when you found it) confirm that sentence.

This would imply that every meaningful sentence was true.

Page 75: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

A Confusion

To be meaningful, a sentence just has to have verification conditions– it has to be possible for there to be circumstances that verify it.

Page 76: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

A Confusion

So I could, possibly, verify that T. Rex had a blue tongue by finding a perfectly preserved frozen T. Rex with a blue tongue.

Sure, that won’t happen, but that’s not the point. Compare “the Absolute is Perfect”– here, no experience will verify that claim, not even possible experience.

Page 77: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Statements about the Future

However, this response only goes so far. What sort of evidence now could conclusively show that hats will be popular on Alpha Centauri?

Page 78: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Reformulation

Additionally, we can reformulate the objection. Events outside my light-cone cannot affect me. So in what sense is it even possible to verify “A dinosaur outside my light-cone has a blue tongue”?

Page 79: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Verifiability “In Principle”

However, the positivist can say that a sentence is verifiable in principle if it is a logical construct out of protocol sentences, each of which is verifiable in the normal sense.

Page 80: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Russell’s Objection

Bertrand Russell pointed out that some statements that seem meaningful are not verifiable in principle.

Page 81: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Russell’s Objection

“Neptune existed before it was discovered.”

Page 82: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Russell’s Objection

“Atomic war will kill everyone.”

Page 83: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Problem #4The Verifiability Criterion Itself

Page 84: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,
Page 85: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Verifiability Criterion Itself

Consider the verifiability criterion: “a sentence is meaningless unless some finite procedure can conclusively verify its truth.”

Page 86: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

The Verifiability Criterion Itself

If this criterion is meaningful, then it must be that some finite procedure can conclusively verify the claim that a sentence is meaningless unless some finite procedure can conclusively verify its truth.

But what procedure would that be?

Page 87: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Ludwig Wittgenstein

• One of the richest people in Europe at the time• Gave away his entire fortune• 3 of his brothers committed

suicide• Fought in both World Wars and

hid that he was one of the most famous philosophers in the world

Page 88: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Kicking away the Ladder

“My propositions serve as elucidations in the following way: anyone who understands me eventually recognizes them as nonsensical, when he has used them - as steps - to climb beyond them…”

Page 89: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Kicking away the Ladder

“He must, so to speak, throw away the ladder after he has climbed up it.”

(Wittgenstein, Tractatus Logico-Philosophicus, 6.54)

Page 90: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Problem #5Existential and Universal Claims

Page 91: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Existentials and Universals

Here’s a(n incomplete) typology of claims:

Positive existential: There is an F that is G.Negative existential: There is no F that is G.Positive universal: Every F is G.Negative universal: Not every F is G.

Page 92: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

A Typology of Claims

Type Example

Positive Existential There is an F that is GNegative Existential There is no F that is GPositive Universal Every F is GNegative Universal Not every F is G

Page 93: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Existentials and Universals

Positive existential claims and negative universal claims can be verified by a finite number of experiences. For instance, it suffices to observe just one cow that is dangerous to know that:

• There is a cow that is dangerous.• Not every cow is safe.

Page 94: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Existentials and Universals

However, negative existentials and positive universals cannot be verified by a finite number of claims. If I observe one billion cows that are dangerous, I still have not shown conclusively:

• There is no cow that is safe.• All cows are dangerous.

Page 95: Verificationism. Logical Positivism Classical Empiricism Last time we learned about the idea theory. Although it wasn’t confined to the empiricists,

Negative Existentials

Russell tells the following story:

“[Wittgenstein] maintained, for example, at one time that all existential propositions are meaningless. This was in a lecture room, and I invited him to consider the proposition: 'There is no hippopotamus in this room at present.' When he refused to believe this, I looked under all the desks without finding one; but he remained unconvinced.”