Combining Philosophers

All the ideas for Eubulides, Frank P. Ramsey and Ruth Barcan Marcus

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


48 ideas

3. Truth / H. Deflationary Truth / 1. Redundant Truth
"It is true that x" means no more than x [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)]
Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 1. Quantification
Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)]
Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)]
Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)]
A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)]
5. Theory of Logic / L. Paradox / 1. Paradox
If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Is being just referent of the verb 'to be'? [Marcus (Barcan)]
8. Modes of Existence / D. Universals / 1. Universals
The distinction between particulars and universals is a mistake made because of language [Ramsey]
We could make universals collections of particulars, or particulars collections of their qualities [Ramsey]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact [Ramsey]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Nominalists say predication is relations between individuals, or deny that it refers [Marcus (Barcan)]
9. Objects / A. Existence of Objects / 3. Objects in Thought
If objects are thoughts, aren't we back to psychologism? [Marcus (Barcan)]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Aristotelian essentialism involves a 'natural' or 'causal' interpretation of modal operators [Marcus (Barcan)]
Aristotelian essentialism is about shared properties, individuating essentialism about distinctive properties [Marcus (Barcan)]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essentialist sentences are not theorems of modal logic, and can even be false [Marcus (Barcan)]
'Essentially' won't replace 'necessarily' for vacuous properties like snub-nosed or self-identical [Marcus (Barcan)]
'Is essentially' has a different meaning from 'is necessarily', as they often cannot be substituted [Marcus (Barcan)]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
If essences are objects with only essential properties, they are elusive in possible worlds [Marcus (Barcan)]
9. Objects / F. Identity among Objects / 2. Defining Identity
Substitutivity won't fix identity, because expressions may be substitutable, but not refer at all [Marcus (Barcan)]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey, by Ramsey]
Ramsey's Test: believe the consequent if you believe the antecedent [Ramsey, by Read]
10. Modality / B. Possibility / 8. Conditionals / e. Supposition conditionals
Asking 'If p, will q?' when p is uncertain, then first add p hypothetically to your knowledge [Ramsey]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
The use of possible worlds is to sort properties (not to individuate objects) [Marcus (Barcan)]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
In possible worlds, names are just neutral unvarying pegs for truths and predicates [Marcus (Barcan)]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Beliefs are maps by which we steer [Ramsey]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
Belief is knowledge if it is true, certain, and obtained by a reliable process [Ramsey]
14. Science / B. Scientific Theories / 8. Ramsey Sentences
Mental terms can be replaced in a sentence by a variable and an existential quantifier [Ramsey]
14. Science / C. Induction / 6. Bayes's Theorem
Ramsey gave axioms for an uncertain agent to decide their preferences [Ramsey, by Davidson]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
Sentence meaning is given by the actions to which it would lead [Ramsey]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
All knowledge needs systematizing, and the axioms would be the laws of nature [Ramsey]
Causal laws result from the simplest axioms of a complete deductive system [Ramsey]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Dispositional essences are special, as if an object loses them they cease to exist [Marcus (Barcan)]