Combining Texts

All the ideas for 'Dialogue on human freedom and origin of evil', 'Russell's Mathematical Logic' and 'Pragmatism - eight lectures'

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33 ideas

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 / 9. Rejecting Truth
Truth is just a name for verification-processes [James]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
In many cases there is no obvious way in which ideas can agree with their object [James]
3. Truth / D. Coherence Truth / 1. Coherence Truth
Ideas are true in so far as they co-ordinate our experiences [James]
New opinions count as 'true' if they are assimilated to an individual's current beliefs [James]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
True ideas are those we can assimilate, validate, corroborate and verify (and false otherwise) [James]
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 / 2. Geometry
Circles must be bounded, so cannot be infinite [Leibniz]
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]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
A 'thing' is simply carved out of reality for human purposes [James]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
'Substance' is just a word for groupings and structures in experience [James]
11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
Truth is a species of good, being whatever proves itself good in the way of belief [James]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Pragmatism accepts any hypothesis which has useful consequences [James]
14. Science / B. Scientific Theories / 2. Aim of Science
Theories are practical tools for progress, not answers to enigmas [James]
14. Science / B. Scientific Theories / 3. Instrumentalism
Pragmatism says all theories are instrumental - that is, mental modes of adaptation to reality [James]
True thoughts are just valuable instruments of action [James]
16. Persons / F. Free Will / 6. Determinism / b. Fate
Sloth's Syllogism: either it can't happen, or it is inevitable without my effort [Leibniz]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
We return to experience with concepts, where they show us differences [James]
28. God / A. Divine Nature / 3. Divine Perfections
If there is a 'greatest knower', it doesn't follow that they know absolutely everything [James]
28. God / A. Divine Nature / 4. Divine Contradictions
It is hard to grasp a cosmic mind which produces such a mixture of goods and evils [James]
28. God / B. Proving God / 1. Proof of God
If the God hypothesis works well, then it is true [James]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
The wonderful design of a woodpecker looks diabolical to its victims [James]
Things with parts always have some structure, so they always appear to be designed [James]
28. God / B. Proving God / 3. Proofs of Evidence / d. Religious Experience
Private experience is the main evidence for God [James]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Nirvana means safety from sense experience, and hindus and buddhists are just afraid of life [James]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
Evil is a negation of good, which arises from non-being [Leibniz]
God only made sin possible because a much greater good can be derived from it [Leibniz]