Logic
... The truth of Q(x), however, depends on the value of x. This is called a propositional function or an open sentence. More than one variable may be present, as in R(x, y ). The truth of this open sentence can only be determined when both x and y are known. ...
... The truth of Q(x), however, depends on the value of x. This is called a propositional function or an open sentence. More than one variable may be present, as in R(x, y ). The truth of this open sentence can only be determined when both x and y are known. ...
Carnap and Quine on the analytic-synthetic - Philsci
... splits up geometry into physical geometry and pure mathematical geometry, and only the latter can be considered as expressing analytic truths. For Quine, all mathematical statements are reducible to set theory, and therefore in the next section the analyticity of set-theoretical statements is discus ...
... splits up geometry into physical geometry and pure mathematical geometry, and only the latter can be considered as expressing analytic truths. For Quine, all mathematical statements are reducible to set theory, and therefore in the next section the analyticity of set-theoretical statements is discus ...
POSSIBLE WORLDS SEMANTICS AND THE LIAR Reflections on a
... Now, Kaplan’s argument shows that the principle of plenitude is incompatible with assumptions commonly made in possible worlds semantics. Here is how the argument goes: (i) There is a set W of possible worlds and a set P rop of propositions. (ii) There is, for every subset X of W , a corresponding p ...
... Now, Kaplan’s argument shows that the principle of plenitude is incompatible with assumptions commonly made in possible worlds semantics. Here is how the argument goes: (i) There is a set W of possible worlds and a set P rop of propositions. (ii) There is, for every subset X of W , a corresponding p ...
Suszko`s Thesis, Inferential Many-Valuedness, and the
... universe of interpretation into two subsets of elements: distinguished ...
... universe of interpretation into two subsets of elements: distinguished ...
L100: Lecture 7, Compositional semantics
... Well-formed FOPC expressions, don’t always correspond to natural NL utterances. For instance: ...
... Well-formed FOPC expressions, don’t always correspond to natural NL utterances. For instance: ...
Algebraic foundations for the semantic treatment of inquisitive content
... taken to request certain information from other conversational participants. Namely, she can be taken to request enough information to locate the actual world in a specific possibility in A, rather than just in the union of all the possibilities that A consists of. We will say that a piece of inform ...
... taken to request certain information from other conversational participants. Namely, she can be taken to request enough information to locate the actual world in a specific possibility in A, rather than just in the union of all the possibilities that A consists of. We will say that a piece of inform ...
Frege - Princeton University
... same thing, so that those signs themselves would be under discussion; a relation between them would be asserted. But this relation would hold between the names or signs only insofar as they named or designated something. It would be mediated by the connection of each of the two signs with the same d ...
... same thing, so that those signs themselves would be under discussion; a relation between them would be asserted. But this relation would hold between the names or signs only insofar as they named or designated something. It would be mediated by the connection of each of the two signs with the same d ...
Document
... Rules of Inference • Definition: An argument in propositional logic is a sequence of propositions. All but the final proposition in the argument are called premises and the final proposition is called the conclusion. An argument is valid if the truth of all its premises implies that the conclusion ...
... Rules of Inference • Definition: An argument in propositional logic is a sequence of propositions. All but the final proposition in the argument are called premises and the final proposition is called the conclusion. An argument is valid if the truth of all its premises implies that the conclusion ...
The Logic of Compound Statements
... called proposition forms or formulas built from propositional variables (atoms), which represent simple propositions and symbols representing logical connectives Proposition or propositional variables: p, q,… each can be true or false Examples: p=“Socrates is mortal” q=“Plato is mortal” ...
... called proposition forms or formulas built from propositional variables (atoms), which represent simple propositions and symbols representing logical connectives Proposition or propositional variables: p, q,… each can be true or false Examples: p=“Socrates is mortal” q=“Plato is mortal” ...
Logic for Gottlob Frege and Bertrand Russell:
... I. Frege: formal logic can answer this question by developing a logical notation (Begriffsschrift) that allows for the expression of two things: 1. all propositions (i.e., everything true or false); and 2. general logical laws governing all inferential relations among propositions. These general log ...
... I. Frege: formal logic can answer this question by developing a logical notation (Begriffsschrift) that allows for the expression of two things: 1. all propositions (i.e., everything true or false); and 2. general logical laws governing all inferential relations among propositions. These general log ...
Lecture - 04 (Logic Knowledge Base)
... three basic forms: (1) they could approve the policy application, (2) they could deny it or (3) they could counter offer. Yet, not one of the underwriters articulated these as boundaries on their work at the outset of the analysis. Once these outcomes were identified, it was a comparatively simple m ...
... three basic forms: (1) they could approve the policy application, (2) they could deny it or (3) they could counter offer. Yet, not one of the underwriters articulated these as boundaries on their work at the outset of the analysis. Once these outcomes were identified, it was a comparatively simple m ...
The substitutional theory of logical consequence
... is no longer a need for trying to form a universal object or ‘reality’. Since the intended interpretation in the sense of the substitutional account can be used in a completely unproblematic way, the proof that logical truth implies truth becomes trivial, and as does the proof that logical consequen ...
... is no longer a need for trying to form a universal object or ‘reality’. Since the intended interpretation in the sense of the substitutional account can be used in a completely unproblematic way, the proof that logical truth implies truth becomes trivial, and as does the proof that logical consequen ...
the nature and classification of idioms
... Idioms take many different forms or structures. They can be very short or rather long. A large number of idioms consist of some combination of noun and adjective, e.g., cold war, a dark horse, French leave, forty winks, a snake in the grass. Some idioms are much longer: to fish in troubled waters, ...
... Idioms take many different forms or structures. They can be very short or rather long. A large number of idioms consist of some combination of noun and adjective, e.g., cold war, a dark horse, French leave, forty winks, a snake in the grass. Some idioms are much longer: to fish in troubled waters, ...