Combining Texts

All the ideas for 'Philosophy of Mathematics', 'On the Nature of Moral Values' and 'Psychophysical and theoretical identifications'

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


11 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Science is sympathetic to truth as correspondence, since it depends on observation [Quine]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
14. Science / C. Induction / 2. Aims of Induction
More careful inductions gradually lead to the hypothetico-deductive method [Quine]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
Altruistic values concern other persons, and ceremonial values concern practices [Quine]
22. Metaethics / B. Value / 2. Values / g. Love
Love seems to diminish with distance from oneself [Quine]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
Laws are the best axiomatization of the total history of world events or facts [Lewis, by Mumford]
If simplicity and strength are criteria for laws of nature, that introduces a subjective element [Mumford on Lewis]
A number of systematizations might tie as the best and most coherent system [Mumford on Lewis]