Logic and Existential Commitment
... This second way of changing a sentence’s truth value leads to what might be termed the possible meaning (PM) account of logical consequence: the conclusion of an argument is a logical consequence of its premises iff there is no possible use or meaning of its constituent nonlogical elements under whi ...
... This second way of changing a sentence’s truth value leads to what might be termed the possible meaning (PM) account of logical consequence: the conclusion of an argument is a logical consequence of its premises iff there is no possible use or meaning of its constituent nonlogical elements under whi ...
Quantum Transport in Nanoscale Devices
... and technologists, yet this time the limits seem more real and are already forcing new strategies on the design of future devices. Critical dimensions, such as transistor gate length and oxide thickness, are reaching physical limitations. Maintaining dimensional integrity at the limits of scaling is ...
... and technologists, yet this time the limits seem more real and are already forcing new strategies on the design of future devices. Critical dimensions, such as transistor gate length and oxide thickness, are reaching physical limitations. Maintaining dimensional integrity at the limits of scaling is ...
Relativistic quantum information theory and quantum reference frames
... quantum information theory of localised qubits in curved spacetimes. This part of the thesis details how to obtain from field theory a description of a localised qubit in curved spacetime that traverses a classical trajectory. The particles to provide the physical realisations of a localised qubit a ...
... quantum information theory of localised qubits in curved spacetimes. This part of the thesis details how to obtain from field theory a description of a localised qubit in curved spacetime that traverses a classical trajectory. The particles to provide the physical realisations of a localised qubit a ...
CS243, Logic and Computation Propositional Logic 1 Propositions
... This could easily mean either of the following: ((not p) and q) (not (p and q)) ...
... This could easily mean either of the following: ((not p) and q) (not (p and q)) ...
Chapter 2 Propositional Logic
... So far, we have seen two types of statements: (1) a proposition, which is a statement either always true, or always false, and (2) a paradox, which is a statement whose truth value cannot be assigned. Here are two new types of statements: Definition 13. A contradiction is a statement that is always ...
... So far, we have seen two types of statements: (1) a proposition, which is a statement either always true, or always false, and (2) a paradox, which is a statement whose truth value cannot be assigned. Here are two new types of statements: Definition 13. A contradiction is a statement that is always ...
I. Development of the Virial Theorem
... space through which the particles will trace out unique paths describing their history. This is essentially a statement of determinism, and in classical terms is formulated in a six-dimensional space called phase-space consisting of three spatial dimensions and three linearly independent momentum di ...
... space through which the particles will trace out unique paths describing their history. This is essentially a statement of determinism, and in classical terms is formulated in a six-dimensional space called phase-space consisting of three spatial dimensions and three linearly independent momentum di ...
A definite resolution of the mystery of
... communities, such as nanotechnology and high energy physics. It is a great pleasure and honor for Soochow University to host this very important conference. The goal of this conference is to bring together the researchers from academia and industry to share ideas, problems and developments related t ...
... communities, such as nanotechnology and high energy physics. It is a great pleasure and honor for Soochow University to host this very important conference. The goal of this conference is to bring together the researchers from academia and industry to share ideas, problems and developments related t ...
Unified view on multiconfigurational time propagation for systems
... normalized and orthogonal to one another throughout the propagation. Moreover, the Lagrange multipliers “compensate” for terms appearing when the variation is performed before matrix elements are evaluated, as done within the Dirac-Frenkel formulation of the time-dependent variational principle;27,2 ...
... normalized and orthogonal to one another throughout the propagation. Moreover, the Lagrange multipliers “compensate” for terms appearing when the variation is performed before matrix elements are evaluated, as done within the Dirac-Frenkel formulation of the time-dependent variational principle;27,2 ...
Incompleteness in a General Setting
... arising from a theory, the relation represents entailment and the operations , , , , , 0, 1 represent conjunction, disjunction, implication, negation, bi-implication, and refutable and provable propositions, respectively. For a proposition a, the assertion that a = 1 expresses the condition t ...
... arising from a theory, the relation represents entailment and the operations , , , , , 0, 1 represent conjunction, disjunction, implication, negation, bi-implication, and refutable and provable propositions, respectively. For a proposition a, the assertion that a = 1 expresses the condition t ...
The Emergence of First
... a logician used first-order logic and where, as more frequently occurred, he employed some richer form of logic. I have distinguished between a logician's use of first-order logic (where quantifiers range only over individuals), second-order logic (where quantifiers can also range over sets or relat ...
... a logician used first-order logic and where, as more frequently occurred, he employed some richer form of logic. I have distinguished between a logician's use of first-order logic (where quantifiers range only over individuals), second-order logic (where quantifiers can also range over sets or relat ...
Lecture - 04 (Logic Knowledge Base)
... Implication • We need to be careful with → as it may not quite capture our intuitions about implication. • In particular (taking the previous example), p → q is true in the following situations: – I study hard and I get rich; or – I don't study hard and I get rich; or – I don't study hard and I don ...
... Implication • We need to be careful with → as it may not quite capture our intuitions about implication. • In particular (taking the previous example), p → q is true in the following situations: – I study hard and I get rich; or – I don't study hard and I get rich; or – I don't study hard and I don ...
Lebesgue`s Dominated Convergence Theorem in Bishop`s Style
... theorem under slightly different assumptions. In particular, the proof in the second paper is UBLCS-2008-18 ...
... theorem under slightly different assumptions. In particular, the proof in the second paper is UBLCS-2008-18 ...
Propositional Logic
... • In PL we have to create propositional symbols to stand for all or part of each sentence. For example, we might do: P = “person”; Q = “mortal”; R = “Confucius” ...
... • In PL we have to create propositional symbols to stand for all or part of each sentence. For example, we might do: P = “person”; Q = “mortal”; R = “Confucius” ...
Full text
... By locally finite, we mean that every segment [x,y] = | z\x < z < y I of £ is finite. The rank k of an element x e L is the length of the longest chain between 0 and x. In any distributive lattice, if the length k of the longest chain between two elements x and y is finite, then the length of any sa ...
... By locally finite, we mean that every segment [x,y] = | z\x < z < y I of £ is finite. The rank k of an element x e L is the length of the longest chain between 0 and x. In any distributive lattice, if the length k of the longest chain between two elements x and y is finite, then the length of any sa ...
PHYSICAL FOUNDATIONS OF COSMOLOGY - Assets
... emerge from a tiny speck of space of a Planckian size 10−33 cm, with a total mass smaller than 1 milligram. All elementary particles surrounding us were produced as a result of the decay of this vacuum-like state at the end of inflation. Galaxies emerged due to the growth of density perturbations, wh ...
... emerge from a tiny speck of space of a Planckian size 10−33 cm, with a total mass smaller than 1 milligram. All elementary particles surrounding us were produced as a result of the decay of this vacuum-like state at the end of inflation. Galaxies emerged due to the growth of density perturbations, wh ...
Logical Argument
... are determined to be in either of these two categories can often itself be an object of much discussion. Informally one should expect that a valid argument should be compelling in the sense that it is capable of convincing someone about the truth of the conclusion. However, such a criterion for vali ...
... are determined to be in either of these two categories can often itself be an object of much discussion. Informally one should expect that a valid argument should be compelling in the sense that it is capable of convincing someone about the truth of the conclusion. However, such a criterion for vali ...
Hierarchical Introspective Logics
... with definitions of ordinals. This is not the same as indexing the levels by ordinals. Two quite different definitions might easily define the same mathematical ordinal yet also it could be very difficult to determine the precise comparative relationship of two different definitions, each of them s ...
... with definitions of ordinals. This is not the same as indexing the levels by ordinals. Two quite different definitions might easily define the same mathematical ordinal yet also it could be very difficult to determine the precise comparative relationship of two different definitions, each of them s ...
Pair production processes and flavor in gauge
... Doing so is the aim of this work. The main motivation is not that large deviations from the standard model are necessarily expected. In fact, as the following will show, deviations are probably restricted to very special circumstances, if at all. This is likely due to the particular structure of the ...
... Doing so is the aim of this work. The main motivation is not that large deviations from the standard model are necessarily expected. In fact, as the following will show, deviations are probably restricted to very special circumstances, if at all. This is likely due to the particular structure of the ...
Local deduction, deductive interpolation and amalgamation in
... yes, when the maximal spectrum is onedimensional THEOREM (L.Cabrer, D.M.) Suppose the maximal spectrum of A is one-dimensional. Then A is ngenerated projective if and only if A is isomorphic to M(P) for some contractible strongly regular rational polyhedron in [0,1]n containing a vertex of [0,1]n. ...
... yes, when the maximal spectrum is onedimensional THEOREM (L.Cabrer, D.M.) Suppose the maximal spectrum of A is one-dimensional. Then A is ngenerated projective if and only if A is isomorphic to M(P) for some contractible strongly regular rational polyhedron in [0,1]n containing a vertex of [0,1]n. ...
AGM Postulates in Arbitrary Logics: Initial Results and - FORTH-ICS
... belief change operations they proposed with respect to AGM-compliance ([6], [23]) or studied the connection of existing operations with the AGM theory ([20]). Some equivalent formalizations of the AGM postulates were developed ([3], [11], [13], [20]) while other researchers studied the postulates ef ...
... belief change operations they proposed with respect to AGM-compliance ([6], [23]) or studied the connection of existing operations with the AGM theory ([20]). Some equivalent formalizations of the AGM postulates were developed ([3], [11], [13], [20]) while other researchers studied the postulates ef ...