Combining Texts

All the ideas for 'Laches', 'Russell's Mathematical Logic' and 'Meaning and the Moral Sciences'

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33 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Don't assume that wisdom is the automatic consequence of old age [Plato]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
A culture needs to admit that knowledge is more extensive than just 'science' [Putnam]
'True' and 'refers' cannot be made scientically precise, but are fundamental to science [Putnam]
2. Reason / D. Definition / 8. Impredicative Definition
Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
3. Truth / A. Truth Problems / 1. Truth
'The rug is green' might be warrantedly assertible even though the rug is not green [Putnam]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
We need the correspondence theory of truth to understand language and science [Putnam]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Correspondence between concepts and unconceptualised reality is impossible [Putnam]
3. Truth / F. Semantic Truth / 2. Semantic Truth
In Tarski's definition, you understand 'true' if you accept the notions of the object language [Putnam]
Tarski has given a correct account of the formal logic of 'true', but there is more to the concept [Putnam]
Only Tarski has found a way to define 'true' [Putnam]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Impredicative definitions are admitted into ordinary mathematics [Gödel]
7. Existence / D. Theories of Reality / 2. Realism
Realism is a theory, which explains the convergence of science and the success of language [Putnam]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
If a tautology is immune from revision, why would that make it true? [Putnam]
13. Knowledge Criteria / C. External Justification / 7. Testimony
Knowledge depends on believing others, which must be innate, as inferences are not strong enough [Putnam]
Empathy may not give knowledge, but it can give plausibility or right opinion [Putnam]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
You can't decide which explanations are good if you don't attend to the interest-relative aspects [Putnam]
19. Language / A. Nature of Meaning / 1. Meaning
Theory of meaning presupposes theory of understanding and reference [Putnam]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Truth conditions can't explain understanding a sentence, because that in turn needs explanation [Putnam]
We should reject the view that truth is prior to meaning [Putnam]
19. Language / B. Reference / 1. Reference theories
How reference is specified is not what reference is [Putnam]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
The claim that scientific terms are incommensurable can be blocked if scientific terms are not descriptions [Putnam]
19. Language / F. Communication / 4. Private Language
A private language could work with reference and beliefs, and wouldn't need meaning [Putnam]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
The correct translation is the one that explains the speaker's behaviour [Putnam]
Language maps the world in many ways (because it maps onto other languages in many ways) [Putnam]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
You can't say 'most speaker's beliefs are true'; in some areas this is not so, and you can't count beliefs [Putnam]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]