Combining Texts

All the ideas for 'Metaphysics: the logical approach', 'Letter to Menoeceus' and 'On the General Idea of Proof Theory'

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


44 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Begin philosophy when you are young, and keep going when you are old [Epicurus]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics focuses on Platonism, essentialism, materialism and anti-realism [Benardete,JA]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
There are the 'is' of predication (a function), the 'is' of identity (equals), and the 'is' of existence (quantifier) [Benardete,JA]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytical philosophy analyses separate concepts successfully, but lacks a synoptic vision of the results [Benardete,JA]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Presumably the statements of science are true, but should they be taken literally or not? [Benardete,JA]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory attempts to reduce the 'is' of predication to mathematics [Benardete,JA]
The set of Greeks is included in the set of men, but isn't a member of it [Benardete,JA]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The standard Z-F Intuition version of set theory has about ten agreed axioms [Benardete,JA, by PG]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work [Prawitz]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory looks at valid sentences and consequence, but not how we know these things [Prawitz]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]
Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
If slowness is a property of walking rather than the walker, we must allow that events exist [Benardete,JA]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Early pre-Socratics had a mass-noun ontology, which was replaced by count-nouns [Benardete,JA]
8. Modes of Existence / D. Universals / 6. Platonic Forms / d. Forms critiques
If there is no causal interaction with transcendent Platonic objects, how can you learn about them? [Benardete,JA]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Why should packed-together particles be a thing (Mt Everest), but not scattered ones? [Benardete,JA]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Could a horse lose the essential property of being a horse, and yet continue to exist? [Benardete,JA]
9. Objects / E. Objects over Time / 2. Objects that Change
If a soldier continues to exist after serving as a soldier, does the wind cease to exist after it ceases to blow? [Benardete,JA]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
One can step into the same river twice, but not into the same water [Benardete,JA]
9. Objects / F. Identity among Objects / 5. Self-Identity
Absolutists might accept that to exist is relative, but relative to what? How about relative to itself? [Benardete,JA]
Maybe self-identity isn't existence, if Pegasus can be self-identical but non-existent [Benardete,JA]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
The clearest a priori knowledge is proving non-existence through contradiction [Benardete,JA]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
If we know truths about prime numbers, we seem to have synthetic a priori knowledge of Platonic objects [Benardete,JA]
Logical positivism amounts to no more than 'there is no synthetic a priori' [Benardete,JA]
Assertions about existence beyond experience can only be a priori synthetic [Benardete,JA]
Appeals to intuition seem to imply synthetic a priori knowledge [Benardete,JA]
16. Persons / F. Free Will / 6. Determinism / b. Fate
Sooner follow mythology, than accept the 'fate' of natural philosophers [Epicurus]
16. Persons / F. Free Will / 7. Compatibilism
We should not refer things to irresponsible necessity, but either to fortune or to our own will [Epicurus]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Prudence is more valuable than philosophy, because it avoids confusions of the soul [Epicurus]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Our own choices are autonomous, and the basis for praise and blame [Epicurus]
22. Metaethics / B. Value / 2. Values / e. Death
Fearing death is absurd, because we are not present when it occurs [Epicurus]
It is absurd to fear the pain of death when you are not even facing it [Epicurus]
The wisdom that produces a good life also produces a good death [Epicurus]
22. Metaethics / C. The Good / 1. Goodness / f. Good as pleasure
All pleasures are good, but it is not always right to choose them [Epicurus]
Pleasure is the goal, but as lack of pain and calm mind, not as depraved or greedy pleasure [Epicurus]
Pleasure is the first good in life [Epicurus]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
Sooner a good decision going wrong, than a bad one turning out for the good [Epicurus]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
The best life is not sensuality, but rational choice and healthy opinion [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
True pleasure is not debauchery, but freedom from physical and mental pain [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
We only need pleasure when we have the pain of desire [Epicurus]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
Prudence is the greatest good, and more valuable than philosophy, because it produces virtue [Epicurus]
27. Natural Reality / C. Space / 3. Points in Space
Rationalists see points as fundamental, but empiricists prefer regions [Benardete,JA]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
In the ontological argument a full understanding of the concept of God implies a contradiction in 'There is no God' [Benardete,JA]