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Finite nest structures and propositional logic
Journal of Symbolic Logic, 1966Our terminology and notation is the same as that of [1], of which this note is a sequel.We wish to show that if we take the natural deduction system (N) described in [1], and delete the rules for the quantifiers, we obtain a complete system for propositional logic. [Of course we now construe “X”, “Y”, “Z” as syntactic variables ranging over formulas of
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Fundamental Propositions in the Plastic Theory of Structures†
Journal of the ICE, 1950Synopsis According to the plastic theory, the collapse load of a ductile structure in the absence of instability due to axial stresses may be predicted by reference solely to the requirements of statical equilibrium. Since it is found unnecessary to consider the behaviour of the structure during the increase of the load to the collapse value, the ...
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Russell on the Structure of Propositions
1998The comparison of Russell's views on semantics before 1905 with the theory of Frege allows one to expose the common sources of their interest in semantical problems and the specific character of their examination. During the investigation of the principles of mathematics and elaboration and realization of the program of logicism, questions regarding ...
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The Propositional Structure of Perception
1993My topic is ordinary sense-perception. My question is, at least among philosophers, a common one: ‘What is the structure of the content of perceptual acts?’ My aim is not to suggest another complicating factor for this old problem, but rather to offer as spare and simplified an answer as possible.
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On the structure of quantal proposition systems
Foundations of Physics, 1994I define sublaltices of quantum propositions that can be taken as having determinate (but perhaps unknown) truth values for a given quantum state, in the sense that sufficiently many two-valued maps satisfying a Boolean homomorphism condition exist on each determinate sublattice to generate a Kolmogorov probability space for the probabilities defined ...
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Attitudes as propositional representations
Trends in Cognitive Sciences, 2021Jan De Houwer +2 more
exaly
Structured propositions and shared content
2012A theory recently advanced by Jeffrey C. King in his 2007 book The Nature and Structure of Content identifies the structure of a structured proposition with the logical form (LF) of a sentence expressing it. I will argue that a theory such as King’s cannot work.
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On an optimal propositional proof system and the structure of easy subsets of TAUT
Theoretical Computer Science, 2002Zenon Sadowski
exaly