Combining Philosophers

All the ideas for Anjan Chakravarrty, Friend/Kimpton-Nye and Gerhard Gentzen

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27 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
11022 Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
11065 The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
11023 The logical connectives are 'defined' by their introduction rules [Gentzen]
11213 Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
13832 Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
10067 Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
8. Modes of Existence / B. Properties / 1. Nature of Properties
23708 Humeans see properties as having no more essential features and relations than their distinctness [Friend/Kimpton-Nye, by PG]
23709 Dispositions are what individuate properties, and they constitute their essence [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
23707 Powers are properties which necessitate dispositions [Friend/Kimpton-Nye]
15148 Powers give explanations, without being necessary for some class membership [Chakravartty]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
23714 Dispositional essentialism (unlike the grounding view) says only fundamental properties are powers [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
23711 A power is a property which consists entirely of dispositions [Friend/Kimpton-Nye]
23712 Powers are qualitative properties which fully ground dispositions [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
23698 Dispositions have directed behaviour which occurs if triggered [Friend/Kimpton-Nye]
23699 'Masked' dispositions fail to react because something intervenes [Friend/Kimpton-Nye]
23700 A disposition is 'altered' when the stimulus reverses the disposition [Friend/Kimpton-Nye]
23701 A disposition is 'mimicked' if a different cause produces that effect from that stimulus [Friend/Kimpton-Nye]
23702 A 'trick' can look like a stimulus for a disposition which will happen without it [Friend/Kimpton-Nye]
23703 Some dispositions manifest themselves without a stimulus [Friend/Kimpton-Nye]
23704 We could analyse dispositions as 'possibilities', with no mention of a stimulus [Friend/Kimpton-Nye]
9. Objects / D. Essence of Objects / 5. Essence as Kind
15145 A kind essence is the necessary and sufficient properties for membership of a class [Chakravartty]
9. Objects / D. Essence of Objects / 15. Against Essentialism
15147 Cluster kinds are explained simply by sharing some properties, not by an 'essence' [Chakravartty]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
23710 Dispositionalism says modality is in the powers of this world, not outsourced to possible worlds [Friend/Kimpton-Nye]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
15144 Explanation of causal phenomena concerns essential kinds - but also lack of them [Chakravartty]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
15146 Some kinds, such as electrons, have essences, but 'cluster kinds' do not [Chakravartty]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
15151 Many causal laws do not refer to kinds, but only to properties [Chakravartty]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
23706 Hume's Dictum says no connections are necessary - so mass and spacetime warping could separate [Friend/Kimpton-Nye]