Combining Philosophers

All the ideas for Speussipus, Adrian Bardon and Bernard Linsky

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39 ideas

2. Reason / D. Definition / 7. Contextual Definition
Contextual definitions eliminate descriptions from contexts [Linsky,B]
2. Reason / D. Definition / 8. Impredicative Definition
'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Definite descriptions, unlike proper names, have a logical structure [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
Extensionalism means what is true of a function is true of coextensive functions [Linsky,B]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
The modern idea of 'limit' allows infinite quantities to have a finite sum [Bardon]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
The ramified theory subdivides each type, according to the range of the variables [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
For those who abandon logicism, standard set theory is a rival option [Linsky,B]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
An equally good question would be why there was nothing instead of something [Bardon]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
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]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Why does an effect require a prior event if the prior event isn't a cause? [Bardon]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / d. Entropy
Becoming disordered is much easier for a system than becoming ordered [Bardon]
27. Natural Reality / C. Space / 6. Space-Time
The universe expands, so space-time is enlarging [Bardon]
27. Natural Reality / D. Time / 1. Nature of Time / c. Idealist time
We should treat time as adverbial, so we don't experience time, we experience things temporally [Bardon, by Bardon]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
How can we question the passage of time, if the question takes time to ask? [Bardon]
27. Natural Reality / D. Time / 2. Passage of Time / b. Rate of time
What is time's passage relative to, and how fast does it pass? [Bardon]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
The A-series says a past event is becoming more past, but how can it do that? [Bardon]
27. Natural Reality / D. Time / 2. Passage of Time / f. Tenseless (B) series
The B-series needs a revised view of causes, laws and explanations [Bardon]
The B-series is realist about time, but idealist about its passage [Bardon]
The B-series adds directionality when it accepts 'earlier' and 'later' [Bardon]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
To define time's arrow by causation, we need a timeless definition of causation [Bardon]
We judge memories to be of the past because the events cause the memories [Bardon]
The psychological arrow of time is the direction from our memories to our anticipations [Bardon]
The direction of entropy is probabilistic, not necessary, so cannot be identical to time's arrow [Bardon]
It is arbitrary to reverse time in a more orderly universe, but not in a sub-system of it [Bardon]
27. Natural Reality / D. Time / 2. Passage of Time / h. Change in time
It seems hard to understand change without understanding time first [Bardon]
We experience static states (while walking round a house) and observe change (ship leaving dock) [Bardon]
27. Natural Reality / D. Time / 2. Passage of Time / i. Time and motion
The motion of a thing should be a fact in the present moment [Bardon]
Experiences of motion may be overlapping, thus stretching out the experience [Bardon]
27. Natural Reality / D. Time / 2. Passage of Time / j. Time travel
At least eternal time gives time travellers a possible destination [Bardon]
Time travel is not a paradox if we include it in the eternal continuum of events [Bardon]
27. Natural Reality / D. Time / 3. Parts of Time / d. Measuring time
We use calendars for the order of events, and clocks for their passing [Bardon]
28. God / C. Attitudes to God / 5. Atheism
Speusippus said things were governed by some animal force rather than the gods [Speussipus, by Cicero]