Combining Texts

All the ideas for 'fragments/reports', 'The Limits of Reason' and 'Regressive Method for Premises in Mathematics'

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24 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
17641 Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell]
2. Reason / A. Nature of Reason / 6. Coherence
17638 If one proposition is deduced from another, they are more certain together than alone [Russell]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
17632 Non-contradiction was learned from instances, and then found to be indubitable [Russell]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
18696 The vagueness of truthmaker claims makes it easier to run anti-realist arguments [Button]
3. Truth / D. Coherence Truth / 1. Coherence Truth
18701 The coherence theory says truth is coherence of thoughts, and not about objects [Button]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
18694 Permutation Theorem: any theory with a decent model has lots of models [Button]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17629 Which premises are ultimate varies with context [Russell]
17630 The sources of a proof are the reasons why we believe its conclusion [Russell]
17640 Finding the axioms may be the only route to some new results [Russell]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
17627 It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17628 Arithmetic was probably inferred from relationships between physical objects [Russell]
7. Existence / D. Theories of Reality / 2. Realism
18692 Realists believe in independent objects, correspondence, and fallibility of all theories [Button]
7. Existence / D. Theories of Reality / 4. Anti-realism
18693 Indeterminacy arguments say if a theory can be made true, it has multiple versions [Button]
18695 An ideal theory can't be wholly false, because its consistency implies a true model [Button]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
17637 The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
17639 Believing a whole science is more than believing each of its propositions [Russell]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
18700 Cartesian scepticism doubts what is true; Kantian scepticism doubts that it is sayable [Button]
14. Science / A. Basis of Science / 4. Prediction
18698 Predictions give the 'content' of theories, which can then be 'equivalent' or 'adequate' [Button]
14. Science / C. Induction / 2. Aims of Induction
17631 Induction is inferring premises from consequences [Russell]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
18697 A sentence's truth conditions are all the situations where it would be true [Button]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
6000 The goal is rationality in the selection of things according to nature [Diogenes of Babylon, by Blank]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
5999 The good is what is perfect by nature [Diogenes of Babylon, by Blank]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
6001 Justice is a disposition to distribute according to desert [Diogenes of Babylon, by Blank]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
17633 The law of gravity has many consequences beyond its grounding observations [Russell]