
chapter 16
... — A universal proof (or universal derivation) is an ordered list of sentences in which every sentence is either a premise or is derived from earlier lines (not within a completed subproof) using an inference rule. If we are able to prove Φ(xʹ) where xʹ does not appear free in any line above the univ ...
... — A universal proof (or universal derivation) is an ordered list of sentences in which every sentence is either a premise or is derived from earlier lines (not within a completed subproof) using an inference rule. If we are able to prove Φ(xʹ) where xʹ does not appear free in any line above the univ ...
Logic of Natural Language Semantics: Presuppositions and
... a proposition, which can be true or false. However, as linguists and philosophers have already noticed, sometimes, a declarative sentence also expresses some extra content on which the truth value of its proposition depends. Such contents are known as presuppositions and they are so called because i ...
... a proposition, which can be true or false. However, as linguists and philosophers have already noticed, sometimes, a declarative sentence also expresses some extra content on which the truth value of its proposition depends. Such contents are known as presuppositions and they are so called because i ...
A Logic of Belief with the Complexity Measure
... B r = {ir , sr }, where ir is an initial belief set – beliefs that are initially actively hold by the agent, and sr = {α | c(α | ir ) ≤ r} is a potential belief set – beliefs for which an agent has a resource to infer them from his initial beliefs. In the logic of belief with complexity (lbc), the k ...
... B r = {ir , sr }, where ir is an initial belief set – beliefs that are initially actively hold by the agent, and sr = {α | c(α | ir ) ≤ r} is a potential belief set – beliefs for which an agent has a resource to infer them from his initial beliefs. In the logic of belief with complexity (lbc), the k ...
Philosophy as Logical Analysis of Science: Carnap, Schlick, Gödel
... Philosophy as Logical Analysis of Science: Carnap, Schlick, Gödel, Tarski, Church, Turing In the 1920s, the Vienna Circle pioneered a new school of philosophy, logical empiricism, influenced by Einsteinian physics, Russellian logic, and Wittgenstein’s Tractatus. Morritz Schlick, the early leader of ...
... Philosophy as Logical Analysis of Science: Carnap, Schlick, Gödel, Tarski, Church, Turing In the 1920s, the Vienna Circle pioneered a new school of philosophy, logical empiricism, influenced by Einsteinian physics, Russellian logic, and Wittgenstein’s Tractatus. Morritz Schlick, the early leader of ...
Truth and Meaning
... Davidsonian story about the semantics of natural language, it is nearly irresistible to conclude that intentional states or mental representations (or both) must have a truth-conditional semantics as well. How else could we hope to get a grip on how it is possible to mean and understand the expressi ...
... Davidsonian story about the semantics of natural language, it is nearly irresistible to conclude that intentional states or mental representations (or both) must have a truth-conditional semantics as well. How else could we hope to get a grip on how it is possible to mean and understand the expressi ...
1 TRUTH AND MEANING Ian Rumfitt C.E.M. Joad`s catchphrase—`It
... In the present paper, I am not directly concerned with this large matter, but with some logical problems (or apparent problems) that confront the meaning-first approach. First problem (Geach): There is bound to be a shift in meaning between a freestanding sentence and its occurrence following ...
... In the present paper, I am not directly concerned with this large matter, but with some logical problems (or apparent problems) that confront the meaning-first approach. First problem (Geach): There is bound to be a shift in meaning between a freestanding sentence and its occurrence following ...
Contingency of Language
... Kant and Hegel Went Only Half-Way to Repudiating “Truth is Out There” German idealism, however, was a short-lived and unsatisfactory compromise. For Kant and Hegel went only halfway in their repudiation of the idea that truth is "out there." They were willing to view the world of empirical science a ...
... Kant and Hegel Went Only Half-Way to Repudiating “Truth is Out There” German idealism, however, was a short-lived and unsatisfactory compromise. For Kant and Hegel went only halfway in their repudiation of the idea that truth is "out there." They were willing to view the world of empirical science a ...
Seeing causes and hearing gestures
... sentences containing ‘’? Answer: the truth table for ‘’. Why? Because knowing the truth table for a sentential connective is sufficient, together with knowledge of the syntax of FOL, to work out the truth table of any complex sentence containing that ...
... sentences containing ‘’? Answer: the truth table for ‘’. Why? Because knowing the truth table for a sentential connective is sufficient, together with knowledge of the syntax of FOL, to work out the truth table of any complex sentence containing that ...
Completeness of Propositional Logic Truth Assignments and Truth
... Truth Assignments and Truth Tables Let us define a truth assignment for a first-order language to be any function h from the set of all atomic sentences of that language into the set {TRUE, FALSE}. That is, for each atomic sentence A of the language, h gives us a truth value, written h(A), either TR ...
... Truth Assignments and Truth Tables Let us define a truth assignment for a first-order language to be any function h from the set of all atomic sentences of that language into the set {TRUE, FALSE}. That is, for each atomic sentence A of the language, h gives us a truth value, written h(A), either TR ...
Handout on Revenge
... Certain non-classical theories of truth have difficulties containing their own theory of assertability and rational acceptance and rejection (see, e.g., Priest 1987, Soames 1999, Field 2008, Beall 2011) as do some classical theories (Feferman 1991, Maudlin 2004.) Field, for example, has a theory of ...
... Certain non-classical theories of truth have difficulties containing their own theory of assertability and rational acceptance and rejection (see, e.g., Priest 1987, Soames 1999, Field 2008, Beall 2011) as do some classical theories (Feferman 1991, Maudlin 2004.) Field, for example, has a theory of ...
Exercises: Sufficiently expressive/strong
... (d) Use Theorem 7.2 to conclude that the set of sentences True is not effectively axiomatizable by any theory framed in language L. 5. Suppose T is an effectively axiomatized, consistent, sufficiently strong theory. And suppose we augment the language of T and add new axioms to get a new consistent, ...
... (d) Use Theorem 7.2 to conclude that the set of sentences True is not effectively axiomatizable by any theory framed in language L. 5. Suppose T is an effectively axiomatized, consistent, sufficiently strong theory. And suppose we augment the language of T and add new axioms to get a new consistent, ...
KNOWLEDGE
... If a belief is true it must correspond to a fact of some kind which ‘exists’ in the world. One objection is that it is the meaning of statements or beliefs which count, and this is what a proposition (p) is. Propositions rather than beliefs carry truth or falsity. I should say “p is true and I belie ...
... If a belief is true it must correspond to a fact of some kind which ‘exists’ in the world. One objection is that it is the meaning of statements or beliefs which count, and this is what a proposition (p) is. Propositions rather than beliefs carry truth or falsity. I should say “p is true and I belie ...
The Objectivity of the Past
... for it is thinking that there are representations that engenders thoughts of relativism” (Davidson 2001b: 46). The comments have not gone unnoticed, and several commentators have taken his dismissive attitude towards representations as a clear sign that Davidson can and should be properly characteri ...
... for it is thinking that there are representations that engenders thoughts of relativism” (Davidson 2001b: 46). The comments have not gone unnoticed, and several commentators have taken his dismissive attitude towards representations as a clear sign that Davidson can and should be properly characteri ...
4. Overview of Meaning Proto
... • In short: copies of the heart exist because they pump blood. • This we take to explain what it is for the proper func6on of the heart to be to pump blood. ...
... • In short: copies of the heart exist because they pump blood. • This we take to explain what it is for the proper func6on of the heart to be to pump blood. ...
Relativism and the Ontological Turn within Anthropology1
... relative to culture, epistemic historicism claims that knowledge is relative to historical period, and so on. Mere variation does not demonstrate relativism. Some cultures may express moral judgments different from ours, but perhaps those cultures are wrong. To generate a form of relativism, one mus ...
... relative to culture, epistemic historicism claims that knowledge is relative to historical period, and so on. Mere variation does not demonstrate relativism. Some cultures may express moral judgments different from ours, but perhaps those cultures are wrong. To generate a form of relativism, one mus ...
PHIL012 Class Notes
... about a and b will always • The only way the truth value of these statements could change would be to change the reference of a or b. ...
... about a and b will always • The only way the truth value of these statements could change would be to change the reference of a or b. ...
Donald Davidson, Subjective, Intersubjective, Objective
... another can come know what one means by one’s words. Knowledge of the external world, one’s own mind, and the minds of others is derived as a condition on being interpretable. We then infer that we have knowledge in each of these domains from the fact that we are linguistic beings and therefore inte ...
... another can come know what one means by one’s words. Knowledge of the external world, one’s own mind, and the minds of others is derived as a condition on being interpretable. We then infer that we have knowledge in each of these domains from the fact that we are linguistic beings and therefore inte ...