Combining Texts

All the ideas for 'The Value of Science', 'Upon Nothing: Swansea lecture' and 'Maths as a Science of Patterns'

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


14 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Two marxist ideas have dominated in France: base and superstructure, and ideology [Scruton]
1. Philosophy / H. Continental Philosophy / 6. Deconstruction
On the surface of deconstructive writing, technicalities float and then drift away [Scruton]
Deconstruction is the last spasm of romanticism, now become hopeless and destructive [Scruton]
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]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
The benefits of social freedom outweigh the loneliness, doubt and alienation it brings [Scruton]
24. Political Theory / D. Ideologies / 3. Conservatism
So-called 'liberation' is the enemy of freedom, destroying the very structures that are needed [Scruton]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]