PHI 515 Quine
... conditions of the sentences of which they form parts. The trouble Quine finds with this idea is that individual sentences simply don’t have intrinsic confirmation conditions, independent of the verification conditions we understand other sentences to have. As Quine puts it, sentences face "the tribu ...
... conditions of the sentences of which they form parts. The trouble Quine finds with this idea is that individual sentences simply don’t have intrinsic confirmation conditions, independent of the verification conditions we understand other sentences to have. As Quine puts it, sentences face "the tribu ...
Philosophy 240: Symbolic Logic
... P He has provided a formal construction in an artificial language. P Does it capture our ordinary notion? P “It seems to me obvious that the only rational approach to [questions about the correct notion of truth] would be the following: We should reconcile ourselves with the fact that we are confron ...
... P He has provided a formal construction in an artificial language. P Does it capture our ordinary notion? P “It seems to me obvious that the only rational approach to [questions about the correct notion of truth] would be the following: We should reconcile ourselves with the fact that we are confron ...
ARISTOTLE`S THEORY OF TRUTH
... deny the statem ent. To speak falsity where the subject and predicate are divided affirm the statement. The former case is exemplified in the statement ‘It is not the case that Dunedin is south of Christchurch’. An example of the latter is ‘Christchurch is south of Dunedin’. I have said that Aristot ...
... deny the statem ent. To speak falsity where the subject and predicate are divided affirm the statement. The former case is exemplified in the statement ‘It is not the case that Dunedin is south of Christchurch’. An example of the latter is ‘Christchurch is south of Dunedin’. I have said that Aristot ...
on Computability
... formula is provable from the axioms iff it is valid. Godel's First InCompleteness Theorem. Any adequate axiomatizable theory is incomplete. In particular the sentence "This sentence is not provable" is true but not provable in the theory. Enumerate Godel's Second Incompleteness Theorem. In any consi ...
... formula is provable from the axioms iff it is valid. Godel's First InCompleteness Theorem. Any adequate axiomatizable theory is incomplete. In particular the sentence "This sentence is not provable" is true but not provable in the theory. Enumerate Godel's Second Incompleteness Theorem. In any consi ...
Truth-tables .1in | University of Edinburgh | PHIL08004 | .3in [width
... “We all learned in school how to compute the probabilities of various events. . . Now in doing these school exercises in probability, we were in fact introduced at a tender age to a set of (miniature) ‘possible worlds’. The thirty-six possible states of the dice are literally thirty-six ‘possible w ...
... “We all learned in school how to compute the probabilities of various events. . . Now in doing these school exercises in probability, we were in fact introduced at a tender age to a set of (miniature) ‘possible worlds’. The thirty-six possible states of the dice are literally thirty-six ‘possible w ...
Logic and Reasoning
... • If KB entails S, then there should be a sequence of inferences through resolution that will lead to at least one clause that cannot be satisfied by any model • Idea: Keep apply resolution to all the pairs of clauses in KB ^ ¬S until: – We can’t find anymore clauses to resolve KB does not entail ...
... • If KB entails S, then there should be a sequence of inferences through resolution that will lead to at least one clause that cannot be satisfied by any model • Idea: Keep apply resolution to all the pairs of clauses in KB ^ ¬S until: – We can’t find anymore clauses to resolve KB does not entail ...
A 1
... most one person is a King of France, and there is not anybody who is a King of France and is not wise” U. Call the sentence “The sentence T means neither more nor less than that at least one person is a King of France, at most one person is a King of France, and there is not anybody who is a King of ...
... most one person is a King of France, and there is not anybody who is a King of France and is not wise” U. Call the sentence “The sentence T means neither more nor less than that at least one person is a King of France, at most one person is a King of France, and there is not anybody who is a King of ...
In defence of an argument against truthmaker maximalism
... in the case of the Liar Sentence, which would mean again its outright inconsistency. But if S ′ is not F , S ′ is again simply true (exactly as in the previous example of ‘consisting of no more than 5 words’) and does not ‘establish (the negation of) just about anything you please’ as well. It follo ...
... in the case of the Liar Sentence, which would mean again its outright inconsistency. But if S ′ is not F , S ′ is again simply true (exactly as in the previous example of ‘consisting of no more than 5 words’) and does not ‘establish (the negation of) just about anything you please’ as well. It follo ...
Lecture 6 Induction
... • A proposition denoted by symbols P(n) are propositions having to do with all numbers of value n. • Terminology and notation: If we say that proposition P(n) is true for all natural numbers n, then we mean that: P(1) ∧ P(2) ∧ P(3) ∧ ... is true. That is the logical “and” of all of these proposition ...
... • A proposition denoted by symbols P(n) are propositions having to do with all numbers of value n. • Terminology and notation: If we say that proposition P(n) is true for all natural numbers n, then we mean that: P(1) ∧ P(2) ∧ P(3) ∧ ... is true. That is the logical “and” of all of these proposition ...
An Introduction to SOFL
... The use of parenthesis An expression is interpreted by applying the operator priority order unless parenthesis is used. For example: the expression not p and q or r <=> p => q and r is equivalent to the expression: (((not p) and q) or r) <=> (p => (q and r)) Parenthesis can be used to change the pr ...
... The use of parenthesis An expression is interpreted by applying the operator priority order unless parenthesis is used. For example: the expression not p and q or r <=> p => q and r is equivalent to the expression: (((not p) and q) or r) <=> (p => (q and r)) Parenthesis can be used to change the pr ...
An un-rigorous introduction to the incompleteness theorems
... Now we can introduce the notion of the valid sentences of a theory. For our purposes, think of a valid sentence as a sentence in the language of the theory that can’t be false. For example, consider a simple logical language which contains some predicates (written as upper-case letters), ‘not’, ‘&’, ...
... Now we can introduce the notion of the valid sentences of a theory. For our purposes, think of a valid sentence as a sentence in the language of the theory that can’t be false. For example, consider a simple logical language which contains some predicates (written as upper-case letters), ‘not’, ‘&’, ...