Combining Philosophers

All the ideas for Speussipus, David van Reybrouck and Alex Orenstein

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26 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Sentential logic is consistent (no contradictions) and complete (entirely provable) [Orenstein]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axiomatization simply picks from among the true sentences a few to play a special role [Orenstein]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' [Orenstein]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Unlike elementary logic, set theory is not complete [Orenstein]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology has been exploited by some nominalists to achieve the effects of set theory [Orenstein]
5. Theory of Logic / G. Quantification / 1. Quantification
Traditionally, universal sentences had existential import, but were later treated as conditional claims [Orenstein]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
The substitution view of quantification says a sentence is true when there is a substitution instance [Orenstein]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The logicists held that is-a-member-of is a logical constant, making set theory part of logic [Orenstein]
7. Existence / E. Categories / 3. Proposed Categories
Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism [Orenstein]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Speusippus suggested underlying principles for every substance, and ended with a huge list [Speussipus, by Aristotle]
14. Science / B. Scientific Theories / 1. Scientific Theory
The Principle of Conservatism says we should violate the minimum number of background beliefs [Orenstein]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
People presume meanings exist because they confuse meaning and reference [Orenstein]
19. Language / C. Assigning Meanings / 3. Predicates
Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way [Orenstein]
19. Language / D. Propositions / 4. Mental Propositions
If two people believe the same proposition, this implies the existence of propositions [Orenstein]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
Nowadays sovereignty (once the basis of a state) has become relative [Reybrouck]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
Today it seems almost impossible to learn the will of the people [Reybrouck]
There are no united monolothic 'peoples', and no 'national gut feelings' [Reybrouck]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
Technocrats may be efficient, but they lose legitimacy as soon as they do unpopular things [Reybrouck]
Technocrats are expert managers, who replace politicians, and can be long-term and unpopular [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is the best compromise between legitimacy and efficiency [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
A referendum result arises largely from ignorance [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
You don't really govern people if you don't involve them [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
In the 18th century democratic lots lost out to elections, that gave us a non-hereditary aristocracy [Reybrouck]
Representative elections were developed in order to avoid democracy [Reybrouck]
28. God / C. Attitudes to God / 5. Atheism
Speusippus said things were governed by some animal force rather than the gods [Speussipus, by Cicero]