Combining Philosophers

All the ideas for Charles Parsons, A.C. Grayling and Jason Crease

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29 ideas

1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / c. Later medieval philosophy
Lucretius was rediscovered in 1417 [Grayling]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Modal logic is not an extensional language [Parsons,C]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Two propositions might seem self-evident, but contradict one another [Grayling]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
The argument from analogy is not a strong inference, since the other being might be an actor or a robot [Grayling]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
If parallelism is true, how does the mind know about the body? [Crease]
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
It is legitimate to do harm if it is the unintended side-effect of an effort to achieve a good [Grayling]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
In an honour code shame is the supreme punishment, and revenge is a duty [Grayling]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Experience, sympathy and history are sensible grounds for laying claim to rights [Grayling]
24. Political Theory / C. Ruling a State / 1. Social Power
Politics is driven by power cliques [Grayling]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
It is essential for democracy that voting is free and well informed [Grayling]
Democracies should require a supermajority for major questions [Grayling]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
A cap on time of service would restrict party control and career ambitions [Grayling]
24. Political Theory / D. Ideologies / 5. Democracy / e. Democratic minorities
Majority decisions are only acceptable if the minority interests are not vital [Grayling]
25. Social Practice / B. Equalities / 1. Grounds of equality
Liberty and equality cannot be reconciled [Grayling]
25. Social Practice / D. Justice / 1. Basis of justice
The very concept of democracy entails a need for justice [Grayling]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
There should be separate legislative, executive and judicial institutions [Grayling]
25. Social Practice / E. Policies / 1. War / a. Just wars
War must also have a good chance of success, and be waged with moderation [Grayling]
25. Social Practice / F. Life Issues / 4. Suicide
If suicide is lawful, but assisting suicide is unlawful, powerless people are denied their rights [Grayling]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion gives answers, comforts, creates social order, and panders to superstition [Grayling]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
To make an afterlife appealing, this life has to be denigrated [Grayling]
In Greek mythology only heroes can go to heaven [Grayling]