Combining Texts

All the ideas for 'Essence and Modality', 'Julius Caesar' and 'Higher-Order Logic'

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

35 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
11159 My account shows how the concept works, rather than giving an analysis [Fine,K]
2. Reason / A. Nature of Reason / 1. On Reason
22708 Good reasons must give way to better [Shakespeare]
2. Reason / D. Definition / 4. Real Definition
11157 Modern philosophy has largely abandoned real definitions, apart from sortals [Fine,K]
2. Reason / D. Definition / 6. Definition by Essence
11171 Defining a term and giving the essence of an object don't just resemble - they are the same [Fine,K]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10301 The axiom of choice is controversial, but it could be replaced [Shapiro]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10588 First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10298 Some say that second-order logic is mathematics, not logic [Shapiro]
10299 If the aim of logic is to codify inferences, second-order logic is useless [Shapiro]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
10300 Logical consequence can be defined in terms of the logical terminology [Shapiro]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
10290 Second-order variables also range over properties, sets, relations or functions [Shapiro]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10297 The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro]
10590 Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro]
10292 Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro]
10296 The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10294 Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
11151 An object is dependent if its essence prevents it from existing without some other object [Fine,K]
8. Modes of Existence / B. Properties / 11. Properties as Sets
10591 Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro]
9. Objects / D. Essence of Objects / 2. Types of Essence
11152 Essences are either taken as real definitions, or as necessary properties [Fine,K]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
11161 Essentially having a property is naturally expressed as 'the property it must have to be what it is' [Fine,K]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
11160 Simple modal essentialism refers to necessary properties of an object [Fine,K]
11158 Essentialist claims can be formulated more clearly with quantified modal logic [Fine,K]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
11167 Metaphysical necessity is a special case of essence, not vice versa [Fine,K]
16537 Essence as necessary properties produces a profusion of essential properties [Fine,K, by Lowe]
11163 The nature of singleton Socrates has him as a member, but not vice versa [Fine,K]
11164 It is not part of the essence of Socrates that a huge array of necessary truths should hold [Fine,K]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
10935 An essential property of something must be bound up with what it is to be that thing [Fine,K, by Rami]
9. Objects / D. Essence of Objects / 9. Essence and Properties
10936 Essential properties are part of an object's 'definition' [Fine,K, by Rami]
9. Objects / E. Objects over Time / 12. Origin as Essential
11165 If Socrates lacks necessary existence, then his nature cannot require his parents' existence [Fine,K]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
11166 The subject of a proposition need not be the source of its necessity [Fine,K]
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
11169 Conceptual necessities rest on the nature of all concepts [Fine,K]
10. Modality / C. Sources of Modality / 6. Necessity from Essence
11162 Socrates is necessarily distinct from the Eiffel Tower, but that is not part of his essence [Fine,K]
11168 Metaphysical necessities are true in virtue of the nature of all objects [Fine,K]
19. Language / E. Analyticity / 2. Analytic Truths
11172 The meaning of 'bachelor' is irrelevant to the meaning of 'unmarried man' [Fine,K]
11170 Analytic truth may only be true in virtue of the meanings of certain terms [Fine,K]
20. Action / B. Preliminaries of Action / 2. Willed Action / b. Volitionism
20304 The cause of my action is in my will [Shakespeare]