Combining Philosophers

All the ideas for Oliver,A/Smiley,T, Edward N. Zalta and Jenny Teichmann

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18 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
14239 The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
14240 The empty set is something, not nothing! [Oliver/Smiley]
14241 We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
14242 Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
14243 The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14234 If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
14237 We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
14245 Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
14246 If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
14247 Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
8. Modes of Existence / B. Properties / 1. Nature of Properties
9295 Not only substances have attributes; events, actions, states and qualities can have them [Teichmann]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10414 Abstract objects are constituted by encoded collections of properties [Zalta, by Swoyer]
10558 Abstract objects are actually constituted by the properties by which we conceive them [Zalta]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10415 Properties make round squares and round triangles distinct, unlike exemplification [Zalta, by Swoyer]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
9293 Body-spirit interaction ought to result in losses and increases of energy in the material world [Teichmann]
18. Thought / E. Abstraction / 2. Abstracta by Selection
10557 Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
9292 The Soul has no particular capacity (in the way thinking belongs to the mind) [Teichmann]
9294 No individuating marks distinguish between Souls [Teichmann]