Combining Philosophers

All the ideas for Philodemus, Gerhard Gentzen and Michel de Montaigne

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22 ideas

1. Philosophy / A. Wisdom / 2. Wise People
Why can't a wise man doubt everything? [Montaigne]
1. Philosophy / A. Wisdom / 3. Wisdom Deflated
No wisdom could make us comfortably walk a wide beam if it was high in the air [Montaigne]
1. Philosophy / B. History of Ideas / 4. Early European Thought
Montaigne was the founding father of liberalism [Montaigne, by Gopnik]
3. Truth / A. Truth Problems / 3. Value of Truth
Virtue is the distinctive mark of truth, and its greatest product [Montaigne]
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]
7. Existence / D. Theories of Reality / 3. Reality
We lack some sense or other, and hence objects may have hidden features [Montaigne]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Sceptics say there is truth, but no means of making or testing lasting judgements [Montaigne]
14. Science / C. Induction / 3. Limits of Induction
From the fact that some men die, we cannot infer that they all do [Philodemus]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
The soul is in the brain, as shown by head injuries [Montaigne]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Rules and duties are based on the will, as that is all we control [Montaigne]
22. Metaethics / B. Value / 2. Values / e. Death
Apart from the fear, dying is an easy duty [Montaigne]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
We must fight fiercely to hang on to the few pleasures which survive into old age [Montaigne]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Virtue inspires Stoics, but I want a good temperament [Montaigne]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
There is not much point in only becoming good near the end of your life [Montaigne]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Don't fear god or worry about death; the good is easily got and the terrible easily cured [Philodemus]
25. Social Practice / A. Freedoms / 3. Free speech
Nothing we say can be worse than unsaying it in the face of authority [Montaigne]
25. Social Practice / E. Policies / 1. War / c. Combatants
People at home care far more than soldiers risking death about the outcome of wars [Montaigne]