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Questions tagged [tautology]

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0answers
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If logical propositions aren't tautologies (a la Wittgenstein), then what could they be?

This is a historical question about philosophical views. I believe I understand the claim made by Wittgenstein and others that logical propositions are tautologies. I'd like to know what other views ...
3
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1answer
233 views

Making 'sense' of Wittgenstein's senselessness / nonsense distinction in the Tractatus

For this question I'm just considering Wittgenstein's theory at the time of the Tractatus. As far as I know, for Wittgenstein: Meaning - The object denoted by a word (i.e. referent). Sense - The ...
2
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1answer
99 views

The Law of Identity and Emptiness

If all rational, logical, philosophical, scientific, and mathematical reasoning starts with the initial axiom that 'X=X' - that is a 0 information tautology - can it be said that all ensuing rational, ...
3
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2answers
880 views

What is the difference between a logical truth and a tautology?

Some papers I read seem to be referring to a distinction between logical truths and tautologies. At first I thought something was wrong since I thought they are the same by definition. I checked the ...
2
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0answers
117 views

Counterexamples to Occam's Razor and tautology

I read here and here that, strictly speaking, there are no counterexamples to Occam's rozar, because the latter implies no need for pluralism when unecessary, which is to be understood as "for the ...
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4answers
6k views

Difference between Tautology and Circular Reasoning

Often it is considered that a tautology is the same as a circular reasoning. However, in the Wikipedia entry of Tautology (language), it mentioned that circular reasoning and tautology are different....
2
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2answers
880 views

Valid arguments as tautologies

I don't quite understand this : "As it turns out, all valid arguments can be restated as tautologies - that is, hypothetical statements in which the antecedent is the conjunction of the ...
4
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7answers
601 views

How do you prove that this is a tautology?

((p->q) and (r->s) and (p or r)) -> (q or s) How would you prove that this is a tautology? Using natural deduction? My attempt on this question is the following. Since a tautology means W entails ...
3
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4answers
747 views

How can a tautology not be necessarily true?

My logic/philosophy exercises include the following statement: "Every tautology is knowable a priori but not every tautology is necessarily true." I'm bamboozled. How can a tautology not be ...
2
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1answer
2k views

What distinguishes logical necessity, logical consequence, logical truth, and tautology from one another?

The text I'm reading distinguishes logical necessity, logical consequence, logical truth, and tautology from one another; however it doesn't make their distinctions especially perspicuous. As far as ...
2
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3answers
1k views

Is “Unreasonable Effectiveness of Mathematics in the Natural Sciences” a tautology?

According to Gelfand, "Eugene Wigner wrote a famous essay on the unreasonable effectiveness of mathematics in natural sciences. He meant physics, of course. There is only one thing which is more ...
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3answers
512 views

Why does logic emphasize tautologies rather than contradictions?

Why does logic emphasize tautologies rather than contradictions? I think the answer is something like the following: We can't cover all cases by contradictions. For example: if I have to prove that ...
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4answers
867 views

Does the phrase “vacuous tautology” have specific meaning?

I just came across a use of the phrase "vacuous tautology" used in a piece of writing. Now, based on my understanding, by definition a tautology has no content and is therefore always vacuous. This ...