Combining Philosophers

All the ideas for Geoffrey Gorham, Thomas W. Polger and Marcus Rossberg

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25 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10751 Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
10757 Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
10759 There are at least seven possible systems of semantics for second-order logic [Rossberg]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
10753 Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
10752 Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
10754 In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10756 A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10758 If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10761 Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
10755 A deductive system is only incomplete with respect to a formal semantics [Rossberg]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
6375 The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger]
14. Science / A. Basis of Science / 6. Falsification
22189 Why abandon a theory if you don't have a better one? [Gorham]
22190 If a theory is more informative it is less probable [Gorham]
14. Science / B. Scientific Theories / 1. Scientific Theory
22192 Is Newton simpler with universal simultaneity, or Einstein simpler without absolute time? [Gorham]
22194 Structural Realism says mathematical structures persist after theory rejection [Gorham]
22195 Structural Realists must show the mathematics is both crucial and separate [Gorham]
14. Science / B. Scientific Theories / 3. Instrumentalism
22197 Theories aren't just for organising present experience if they concern the past or future [Gorham]
22196 For most scientists their concepts are not just useful, but are meant to be true and accurate [Gorham]
14. Science / D. Explanation / 2. Types of Explanation / d. Consilience
22193 Consilience makes the component sciences more likely [Gorham]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
6381 The mind and the self are one, and the mind-self is a biological phenomenon [Polger]
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
6378 Teleological functions explain why a trait exists; causal-role functions say what it does [Polger]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
6380 Identity theory says consciousness is an abstraction: a state, event, process or property [Polger]
26. Natural Theory / A. Speculations on Nature / 1. Nature
22198 Aristotelian physics has circular celestial motion and linear earthly motion [Gorham]
26. Natural Theory / A. Speculations on Nature / 3. Natural Function
6379 A mummified heart has the teleological function of circulating blood [Polger]
6377 Teleological notions of function say what a thing is supposed to do [Polger]