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All the ideas for 'The philosophical basis of intuitionist logic', 'Seven Quodlibets' and 'My Philosophical Development'

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34 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Only by analysing is progress possible in philosophy [Russell]
Analysis gives new knowledge, without destroying what we already have [Russell]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
The theory of types makes 'Socrates and killing are two' illegitimate [Russell]
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth belongs to beliefs, not to propositions and sentences [Russell]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
I gradually replaced classes with properties, and they ended as a symbolic convenience [Russell]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Leibniz bases everything on subject/predicate and substance/property propositions [Russell]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Names are meaningless unless there is an object which they designate [Russell]
5. Theory of Logic / G. Quantification / 1. Quantification
Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
We tried to define all of pure maths using logical premisses and concepts [Russell]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalists say maths is merely conventional marks on paper, like the arbitrary rules of chess [Russell]
Formalism can't apply numbers to reality, so it is an evasion [Russell]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionism says propositions are only true or false if there is a method of showing it [Russell]
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
In 1899-1900 I adopted the philosophy of logical atomism [Russell]
Complex things can be known, but not simple things [Russell]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Facts are everything, except simples; they are either relations or qualities [Russell]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Relations are expressed either as absolute facts, or by a relational concept [William of Ockham]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Universals can't just be words, because words themselves are universals [Russell]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Cut wood doesn't make a new substance, but seems to make separate subjects [William of Ockham]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Hot water naturally cools down, which is due to the substantial form of the water [William of Ockham]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
In epistemology we should emphasis the continuity between animal and human minds [Russell]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Pragmatism judges by effects, but I judge truth by causes [Russell]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Empiricists seem unclear what they mean by 'experience' [Russell]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
True belief about the time is not knowledge if I luckily observe a stopped clock at the right moment [Russell]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
If an animal approached from a distance, we might abstract 'animal' from one instance [William of Ockham]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Behaviourists struggle to explain memory and imagination, because they won't admit images [Russell]
17. Mind and Body / D. Property Dualism / 6. Mysterianism
There are no secure foundations to prove the separate existence of mind, in reason or experience [William of Ockham]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
Surprise is a criterion of error [Russell]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett]
If a sentence is effectively undecidable, we can never know its truth conditions [Dummett]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Unverifiable propositions about the remote past are still either true or false [Russell]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]
19. Language / D. Propositions / 4. Mental Propositions
You can believe the meaning of a sentence without thinking of the words [Russell]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
To love God means to love whatever God wills to be loved [William of Ockham]