Combining Texts

All the ideas for 'Defending the Axioms', 'Intentionality and the Physical: reply to Mumford' and 'In Defence of Pure Reason'

expand these ideas     |    start again     |     specify just one area for these texts

24 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
3695 Philosophy is a priori if it is anything [Bonjour]
2. Reason / A. Nature of Reason / 3. Pure Reason
3651 Perceiving necessary connections is the essence of reasoning [Bonjour]
2. Reason / A. Nature of Reason / 6. Coherence
3700 Coherence can't be validated by appeal to coherence [Bonjour]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
10. Modality / B. Possibility / 1. Possibility
3697 The concept of possibility is prior to that of necessity [Bonjour]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
3704 Moderate rationalists believe in fallible a priori justification [Bonjour]
3707 Our rules of thought can only be judged by pure rational insight [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
3696 A priori justification requires understanding but no experience [Bonjour]
3703 You can't explain away a priori justification as analyticity, and you can't totally give it up [Bonjour]
3706 A priori justification can vary in degree [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
3699 The induction problem blocks any attempted proof of physical statements [Bonjour]
13. Knowledge Criteria / C. External Justification / 1. External Justification
3701 Externalist theories of justification don't require believers to have reasons for their beliefs [Bonjour]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
3702 Externalism means we have no reason to believe, which is strong scepticism [Bonjour]
14. Science / C. Induction / 2. Aims of Induction
3709 Induction must go beyond the evidence, in order to explain why the evidence occurred [Bonjour]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
18088 Intentionality is the mark of dispositions, not of the mental [Place]
18. Thought / C. Content / 1. Content
3708 All thought represents either properties or indexicals [Bonjour]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
3698 Indeterminacy of translation is actually indeterminacy of meaning and belief [Bonjour]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
18089 Dispositions are not general laws, but laws of the natures of individual entities [Place]