Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'Philosophy of Mathematics' and 'The Fixation of Belief'

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

22 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
6947 Metaphysics does not rest on facts, but on what we are inclined to believe [Peirce]
2. Reason / A. Nature of Reason / 4. Aims of Reason
6937 Reason aims to discover the unknown by thinking about the known [Peirce]
2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
7. Existence / A. Nature of Existence / 5. Reason for Existence
19400 Possibles demand existence, so as many of them as possible must actually exist [Leibniz]
19401 God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]
7. Existence / D. Theories of Reality / 2. Realism
21492 Realism is basic to the scientific method [Peirce]
7. Existence / D. Theories of Reality / 4. Anti-realism
6949 If someone doubted reality, they would not actually feel dissatisfaction [Peirce]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
19402 The actual universe is the richest composite of what is possible [Leibniz]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
6940 The feeling of belief shows a habit which will determine our actions [Peirce]
6943 A mere question does not stimulate a struggle for belief; there must be a real doubt [Peirce]
6941 We are entirely satisfied with a firm belief, even if it is false [Peirce]
6942 We want true beliefs, but obviously we think our beliefs are true [Peirce]
13. Knowledge Criteria / B. Internal Justification / 2. Pragmatic justification
6598 We need our beliefs to be determined by some external inhuman permanency [Peirce]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
6944 Demonstration does not rest on first principles of reason or sensation, but on freedom from actual doubt [Peirce]
13. Knowledge Criteria / C. External Justification / 1. External Justification
6948 Doubts should be satisfied by some external permanency upon which thinking has no effect [Peirce]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
6945 Once doubt ceases, there is no point in continuing to argue [Peirce]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
6939 What is true of one piece of copper is true of another (unlike brass) [Peirce]
27. Natural Reality / G. Biology / 3. Evolution
6938 Natural selection might well fill an animal's mind with pleasing thoughts rather than true ones [Peirce]
28. God / B. Proving God / 2. Proofs of Reason / d. Pascal's Wager
6946 If death is annihilation, belief in heaven is a cheap pleasure with no disappointment [Peirce]