Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'On Sense and Reference' and 'Prior Analytics'

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57 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
Frege was strongly in favour of taking truth to attach to propositions [Frege, by Dummett]
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Aristotle was the first to use schematic letters in logic [Aristotle, by Potter]
Aristotelian syllogisms are three-part, subject-predicate, existentially committed, with laws of thought [Aristotle, by Hanna]
Aristotelian sentences are made up by one of four 'formative' connectors [Aristotle, by Engelbretsen]
Aristotelian identified 256 possible syllogisms, saying that 19 are valid [Aristotle, by Devlin]
Aristotle replaced Plato's noun-verb form with unions of pairs of terms by one of four 'copulae' [Aristotle, by Engelbretsen/Sayward]
Aristotle listed nineteen valid syllogisms (though a few of them were wrong) [Aristotle, by Devlin]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Aristotle's said some Fs are G or some Fs are not G, forgetting that there might be no Fs [Bostock on Aristotle]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
There are three different deductions for actual terms, necessary terms and possible terms [Aristotle]
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Deduction is when we suppose one thing, and another necessarily follows [Aristotle]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Aristotle places terms at opposite ends, joined by a quantified copula [Aristotle, by Sommers]
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties [Aristotle, by Benardete,JA]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
We can treat designation by a few words as a proper name [Frege]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Proper name in modal contexts refer obliquely, to their usual sense [Frege, by Gibbard]
A Fregean proper name has a sense determining an object, instead of a concept [Frege, by Sainsbury]
People may have different senses for 'Aristotle', like 'pupil of Plato' or 'teacher of Alexander' [Frege]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
The meaning of a proper name is the designated object [Frege]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Frege ascribes reference to incomplete expressions, as well as to singular terms [Frege, by Hale]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
If sentences have a 'sense', empty name sentences can be understood that way [Frege, by Sawyer]
It is a weakness of natural languages to contain non-denoting names [Frege]
In a logically perfect language every well-formed proper name designates an object [Frege]
5. Theory of Logic / G. Quantification / 1. Quantification
Affirming/denying sentences are universal, particular, or indeterminate [Aristotle]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Aristotelian logic has two quantifiers of the subject ('all' and 'some') [Aristotle, by Devlin]
5. Theory of Logic / I. Semantics of Logic / 6. Intensionalism
Frege is intensionalist about reference, as it is determined by sense; identity of objects comes first [Frege, by Jacquette]
Frege moved from extensional to intensional semantics when he added the idea of 'sense' [Frege, by Sawyer]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
8. Modes of Existence / D. Universals / 1. Universals
We can't get a semantics from nouns and predicates referring to the same thing [Frege, by Dummett]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Frege was asking how identities could be informative [Frege, by Perry]
10. Modality / A. Necessity / 4. De re / De dicto modality
A deduction is necessary if the major (but not the minor) premise is also necessary [Aristotle]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
Linguistic terms form a hierarchy, with higher terms predicable of increasing numbers of things [Aristotle, by Engelbretsen]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
'The concept "horse"' denotes a concept, yet seems also to denote an object [Frege, by McGee]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Frege failed to show when two sets of truth-conditions are equivalent [Frege, by Potter]
The meaning (reference) of a sentence is its truth value - the circumstance of it being true or false [Frege]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
Holism says all language use is also a change in the rules of language [Frege, by Dummett]
19. Language / B. Reference / 1. Reference theories
The reference of a word should be understood as part of the reference of the sentence [Frege]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Frege's Puzzle: from different semantics we infer different reference for two names with the same reference [Frege, by Fine,K]
Frege's 'sense' is ambiguous, between the meaning of a designator, and how it fixes reference [Kripke on Frege]
Every descriptive name has a sense, but may not have a reference [Frege]
Frege started as anti-realist, but the sense/reference distinction led him to realism [Frege, by Benardete,JA]
The meaning (reference) of 'evening star' is the same as that of 'morning star', but not the sense [Frege]
In maths, there are phrases with a clear sense, but no actual reference [Frege]
We are driven from sense to reference by our desire for truth [Frege]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
Expressions always give ways of thinking of referents, rather than the referents themselves [Frege, by Soames]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
'Sense' gives meaning to non-referring names, and to two expressions for one referent [Frege, by Margolis/Laurence]
Frege was the first to construct a plausible theory of meaning [Frege, by Dummett]
Earlier Frege focuses on content itself; later he became interested in understanding content [Frege, by Dummett]
Frege divided the meaning of a sentence into sense, force and tone [Frege, by Dummett]
Frege uses 'sense' to mean both a designator's meaning, and the way its reference is determined [Kripke on Frege]
Frege explained meaning as sense, semantic value, reference, force and tone [Frege, by Miller,A]