Combining Texts

All the ideas for 'Maths as a Science of Patterns', 'How to Make our Ideas Clear' and 'Introduction of 'Essence of Christianity''

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20 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
7661 Truth is the opinion fated to be ultimately agreed by all investigators [Peirce]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
6299 Axioms are often affirmed simply because they produce results which have been accepted [Resnik]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
6304 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
6300 Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
6303 Sets are positions in patterns [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
6302 Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
6295 There are too many mathematical objects for them all to be mental or physical [Resnik]
6296 Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
6301 Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
11. Knowledge Aims / A. Knowledge / 2. Understanding
19089 Our whole conception of an object is its possible practical consequences [Peirce]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
7660 We are aware of beliefs, they appease our doubts, and they are rules of action, or habits [Peirce]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
19451 When absorbed in deep reflection, is your reason in control, or is it you? [Feuerbach]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
14906 Non-positivist verificationism says only take a hypothesis seriously if it is scientifically based and testable [Ladyman/Ross on Peirce]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
19450 Reason, love and will are the highest perfections and essence of man - the purpose of his life [Feuerbach]
27. Natural Reality / G. Biology / 5. Species
19448 Consciousness is said to distinguish man from animals - consciousness of his own species [Feuerbach]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
19454 A God needs justice, kindness and wisdom, but those concepts don't depend on the concept of God [Feuerbach]
28. God / C. Attitudes to God / 4. God Reflects Humanity
19452 The nature of God is an expression of human nature [Feuerbach]
28. God / C. Attitudes to God / 5. Atheism
19453 If love, goodness and personality are human, the God who is their source is anthropomorphic [Feuerbach]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
19449 Religion is the consciousness of the infinite [Feuerbach]
19455 Today's atheism will tomorrow become a religion [Feuerbach]