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All the ideas for 'fragments/reports', 'Essence and Modality' and 'Plurals and Complexes'

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43 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 / 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
10676 The Axiom of Choice is a non-logical principle of set-theory [Hossack]
10686 The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10687 Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
10677 Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
10671 Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
10666 Plural reference will refer to complex facts without postulating complex things [Hossack]
10669 Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
10675 A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
10673 Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
10680 The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
10684 I take the real numbers to be just lengths [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10674 A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10681 In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
10685 Set theory is the science of infinity [Hossack]
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]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
10668 We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
9. Objects / C. Structure of Objects / 5. Composition of an Object
10664 Complex particulars are either masses, or composites, or sets [Hossack]
10678 The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
10682 The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
10665 Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
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]
18. Thought / A. Modes of Thought / 1. Thought
10663 A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
27. Natural Reality / C. Space / 2. Space
10683 We could ignore space, and just talk of the shape of matter [Hossack]