Combining Texts

All the ideas for 'Reportatio', 'Maths as a Science of Patterns' and 'On the Nature of Moral Values'

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14 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Science is sympathetic to truth as correspondence, since it depends on observation [Quine]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axioms are often affirmed simply because they produce results which have been accepted [Resnik]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
Sets are positions in patterns [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
There are too many mathematical objects for them all to be mental or physical [Resnik]
Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
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]
28. God / A. Divine Nature / 3. Divine Perfections
God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham]
28. God / C. Attitudes to God / 4. God Reflects Humanity
We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham]