Combining Philosophers

All the ideas for Xenophon, Julien Offray de La Mettrie and Gerhard Gentzen

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


17 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
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
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
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
The imagination alone perceives all objects; it is the soul, playing all its roles [La Mettrie]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
When falling asleep, the soul becomes paralysed and weak, just like the body [La Mettrie]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
The soul's faculties depend on the brain, and are simply the brain's organisation [La Mettrie]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Man is a machine, and there exists only one substance, diversely modified [La Mettrie]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
All thought is feeling, and rationality is the sensitive soul contemplating reasoning [La Mettrie]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
With wonderful new machines being made, a speaking machine no longer seems impossible [La Mettrie]
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Education is the greatest of human goods [Xenophon]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
The sun and rain weren't made for us; they sometimes burn us, or spoil our seeds [La Mettrie]
27. Natural Reality / G. Biology / 3. Evolution
There is no abrupt transition from man to animal; only language has opened a gap [La Mettrie]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
There is no clear idea of the soul, which should only refer to our thinking part [La Mettrie]