Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Ontology' and 'Nominalism and Substitutional Quantifiers'

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

41 ideas

4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
7689 The modal logic of C.I.Lewis was only interpreted by Kripke and Hintikka in the 1960s [Jacquette]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
7681 Logic describes inferences between sentences expressing possible properties of objects [Jacquette]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10794 The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)]
5. Theory of Logic / C. Ontology of Logic / 2. Platonism in Logic
7682 Logic is not just about signs, because it relates to states of affairs, objects, properties and truth-values [Jacquette]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
10786 Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)]
10788 Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
7697 On Russell's analysis, the sentence "The winged horse has wings" comes out as false [Jacquette]
5. Theory of Logic / G. Quantification / 1. Quantification
10799 Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10790 Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)]
10791 Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
10785 Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)]
10795 Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)]
10798 A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
7701 Can a Barber shave all and only those persons who do not shave themselves? [Jacquette]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
7707 To grasp being, we must say why something exists, and why there is one world [Jacquette]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
10787 Is being just referent of the verb 'to be'? [Marcus (Barcan)]
7. Existence / A. Nature of Existence / 5. Reason for Existence
7692 Being is maximal consistency [Jacquette]
7687 Existence is completeness and consistency [Jacquette]
7. Existence / D. Theories of Reality / 1. Ontologies
7679 Ontology is the same as the conceptual foundations of logic [Jacquette]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
7678 Ontology must include the minimum requirements for our semantics [Jacquette]
7. Existence / E. Categories / 3. Proposed Categories
7683 Logic is based either on separate objects and properties, or objects as combinations of properties [Jacquette]
7684 Reduce states-of-affairs to object-property combinations, and possible worlds to states-of-affairs [Jacquette]
8. Modes of Existence / B. Properties / 11. Properties as Sets
7703 If classes can't be eliminated, and they are property combinations, then properties (universals) can't be either [Jacquette]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
10789 Nominalists say predication is relations between individuals, or deny that it refers [Marcus (Barcan)]
9. Objects / A. Existence of Objects / 1. Physical Objects
7685 An object is a predication subject, distinguished by a distinctive combination of properties [Jacquette]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
7699 Numbers, sets and propositions are abstract particulars; properties, qualities and relations are universals [Jacquette]
9. Objects / A. Existence of Objects / 3. Objects in Thought
10796 If objects are thoughts, aren't we back to psychologism? [Marcus (Barcan)]
9. Objects / F. Identity among Objects / 2. Defining Identity
10797 Substitutivity won't fix identity, because expressions may be substitutable, but not refer at all [Marcus (Barcan)]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
7691 The actual world is a consistent combination of states, made of consistent property combinations [Jacquette]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
7688 The actual world is a maximally consistent combination of actual states of affairs [Jacquette]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / c. Worlds as propositions
7695 Do proposition-structures not associated with the actual world deserve to be called worlds? [Jacquette]
7694 We must experience the 'actual' world, which is defined by maximally consistent propositions [Jacquette]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
7706 If qualia supervene on intentional states, then intentional states are explanatorily fundamental [Jacquette]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
7704 Reduction of intentionality involving nonexistent objects is impossible, as reduction must be to what is actual [Jacquette]
19. Language / D. Propositions / 1. Propositions
7702 The extreme views on propositions are Frege's Platonism and Quine's extreme nominalism [Jacquette]