Combining Philosophers

All the ideas for Cleanthes, Bert Leuridan and Gerhard Gentzen

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21 ideas

1. Philosophy / D. Nature of Philosophy / 4. Divisions of Philosophy
20771 Six parts: dialectic, rhetoric, ethics, politics, physics, theology [Cleanthes, by Diog. Laertius]
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]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
12790 Generalisations must be invariant to explain anything [Leuridan]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
12789 Biological functions are explained by disposition, or by causal role [Leuridan]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
14388 Mechanisms must produce macro-level regularities, but that needs micro-level regularities [Leuridan]
14386 Mechanisms are ontologically dependent on regularities [Leuridan]
12787 Mechanisms can't explain on their own, as their models rest on pragmatic regularities [Leuridan]
14384 We can show that regularities and pragmatic laws are more basic than mechanisms [Leuridan]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
14389 There is nothing wrong with an infinite regress of mechanisms and regularities [Leuridan]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
6028 Bodies interact with other bodies, and cuts cause pain, and shame causes blushing, so the soul is a body [Cleanthes, by Nemesius]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
20831 The soul suffers when the body hurts, creates redness from shame, and pallor from fear [Cleanthes]
26. Natural Theory / A. Speculations on Nature / 3. Natural Function
14387 Rather than dispositions, functions may be the element that brought a thing into existence [Leuridan]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
14382 Pragmatic laws allow prediction and explanation, to the extent that reality is stable [Leuridan]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
14385 Strict regularities are rarely discovered in life sciences [Leuridan]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
14383 A 'law of nature' is just a regularity, not some entity that causes the regularity [Leuridan]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
5993 The ascending scale of living creatures requires a perfect being [Cleanthes, by Tieleman]