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The Interactivist model
 Synthese
"... A shift from a metaphysical framework of substance to one of process enables an integrated account of the emergence of normative phenomena. I show how substance assumptions block genuine ontological emergence, especially the emergence of normativity, and how a process framework permits a thermodynam ..."
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Cited by 7 (5 self)
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A shift from a metaphysical framework of substance to one of process enables an integrated account of the emergence of normative phenomena. I show how substance assumptions block genuine ontological emergence, especially the emergence of normativity, and how a process framework permits a thermodynamicbased account of normative emergence. The focus is on two foundational forms of normativity, that of normative function and of representation as emergent in a particular kind of function. This process model of representation, called interactivism, compels changes in many related domains. The discussion ends with brief attention to three domains in which changes are induced by the representational model: perception, learning, and language.
Reflections on Skolem's Paradox
"... In 1922, Thoraf Skolem published a paper titled "Some remarks on Axiomatized Set Theory". The paper presents a new proof of... This dissertation focuses almost exclusively on the first half of this project  i.e., the half which tries to expose an initial tension between Cantor's theorem and the Lö ..."
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Cited by 4 (2 self)
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In 1922, Thoraf Skolem published a paper titled "Some remarks on Axiomatized Set Theory". The paper presents a new proof of... This dissertation focuses almost exclusively on the first half of this project  i.e., the half which tries to expose an initial tension between Cantor's theorem and the LöwenheimSkolem theorem. I argue that, even on quite naive understandings of set theory and model theory, there is no such tension. Hence, Skolem's Paradox is not a genuine paradox, and there is very little reason to worry about (or even to investigate) the more extreme consequences that are supposed to follow from this paradox. The heart of my...
Frege, Boolos, and Logical Objects
"... Objects In this section, we discuss the following kinds of logical object: natural cardinals, extensions, directions, shapes, and truth values. The material concerning the latter four kinds of logical objects are presented here as new results of OT. However, before introducing those results, we fir ..."
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Objects In this section, we discuss the following kinds of logical object: natural cardinals, extensions, directions, shapes, and truth values. The material concerning the latter four kinds of logical objects are presented here as new results of OT. However, before introducing those results, we first briefly rehearse the development of number theory in Zalta [1999].
VARIETIES OF FINITISM
"... Two of the central problems in the philosophy of mathematics are whether there are numbers (at all) and if there are numbers how many of them there are. This essay does not deal with the first question. Here we are concerned with the problem of infinity. Infinity/the infinite is beset with (supposed ..."
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Two of the central problems in the philosophy of mathematics are whether there are numbers (at all) and if there are numbers how many of them there are. This essay does not deal with the first question. Here we are concerned with the problem of infinity. Infinity/the infinite is beset with (supposed) paradoxes of
DOI 10.1007/s112290089375x The interactivist model
"... Abstract A shift from a metaphysical framework of substance to one of process enables an integrated account of the emergence of normative phenomena. I show how substance assumptions block genuine ontological emergence, especially the emergence of normativity, and how a process framework permits a th ..."
Abstract
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Abstract A shift from a metaphysical framework of substance to one of process enables an integrated account of the emergence of normative phenomena. I show how substance assumptions block genuine ontological emergence, especially the emergence of normativity, and how a process framework permits a thermodynamicbased account of normative emergence. The focus is on two foundational forms of normativity, that of normative function and of representation as emergent in a particular kind of function. This process model of representation, called interactivism, compels changes in many related domains. The discussion ends with brief attention to three domains in which changes are induced by the representational model: perception, learning, and language.