Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Introduction to 'Hippias Minor'' and 'The Blank Slate'

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20 ideas

5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
18739 Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
18741 Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
18744 Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
9548 A mathematical object exists if there is no contradiction in its definition [Waterfield]
7. Existence / A. Nature of Existence / 1. Nature of Existence
18740 If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
7. Existence / C. Structure of Existence / 2. Reduction
7508 Good reductionism connects fields of knowledge, but doesn't replace one with another [Pinker]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
18745 A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
18747 The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
18748 Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
18746 Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
18750 Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
12. Knowledge Sources / D. Empiricism / 2. Associationism
7510 Connectionists say the mind is a general purpose learning device [Pinker]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
7513 Is memory stored in protein sequences, neurons, synapses, or synapse-strengths? [Pinker]
16. Persons / F. Free Will / 5. Against Free Will
7509 Roundworms live successfully with 302 neurons, so human freedom comes from our trillions [Pinker]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
7511 Neural networks can generalise their training, e.g. truths about tigers apply mostly to lions [Pinker]
7512 There are five types of reasoning that seem beyond connectionist systems [Pinker, by PG]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
7505 Many think that accepting human nature is to accept innumerable evils [Pinker]
27. Natural Reality / G. Biology / 2. Life
7516 In 1828, the stuff of life was shown to be ordinary chemistry, not a magic gel [Pinker]
27. Natural Reality / G. Biology / 3. Evolution
7515 All the evidence says evolution is cruel and wasteful, not intelligent [Pinker]
7514 Intelligent Design says that every unexplained phenomenon must be design, by default [Pinker]