A non fiction book by Nikolai Chernyshevsky Nikolai Gavrilovich Chernyshevskyeducator, critic and revolutionary, was the son of a priest.
Mathematics, Models, and Modality: Selected Philosophical Essays Published: January 17, John P. Burgess, Mathematics, Models, and Modality: The essays are divided into two parts. These essays cover a large range of topics.
Some are highly influential papers in the field. It is an impressive collection of work. This essay provides an introduction to the topic of the ontology of mathematics. The next four essays are the ones that are most closely connected in the collection and they form the heart of the book.
The first Selected philosophical essays them, "Why I am not a nominalist", originally appeared inthe other three, "Mathematics and Bleak House", "Quine, mathematics, and analyticity", and "Being explained away", are from or I will critically discuss them in more detail below. The first part of the book concludes with a paper on the foundations of set theory entitled "E pluribus unum: In "E pluribus unum" Burgess proposes to combine two ideas to give a new foundation for set theory.
One idea, due to George Boolos, is the use of plural quantification instead of second order quantification or quantification over proper classes.
The other, due to Paul Bernays and developed by Harvey Friedman, is to use reflection principles in the axiomatization of set theory. Burgess proposes a new axiomatization of set theory called BB for Bernays-Boolos based on these two ideas and discusses its relation to the standard axiomatization of set theory.
It is one of the two new papers in this collection. The second part of the collection of essays ranges more widely than the first. It is the second, and beside the paper on logicism, only other new paper in the collection.
Burgess considers different notions of necessity and asks which modal logic correctly captures necessity in these senses. He proposes an answer for one case, and discusses some options for another case.
It also deals with de re knowledge, tying it to the next two papers. Burgess argues that given the conceptions of de re modality Quine was arguing against at the time, Quine was right. In "Translating names" Burgess criticizes Millian theories of names and hopes to defend a position intermediate between Millian theories and descriptive theories.
The last two papers in the collection defend classical logic against two kinds of attacks. Critical discussion The nominalism papers in the first part of the book, "Why I am not a nominalist", "Mathematics and Bleak House", "Quine, mathematics, and analyticity", and "Being explained away", provide the clearest case in the collection of a group of papers that deal with one unified set of issues.
The papers closely relate to each other, and one often illuminates another one. I will focus my critical discussion on them. Nominalists in general hold that all there is is concrete, just the world in space and time.
Nominalists in the philosophy of mathematics in particular hold that there are no such things as mathematical objects.
Burgess focused his critique on the nominalistic philosophies of Hartry Field and Charles Chihara. Field proposed an answer to the indispensability argument for mathematical objects.
Field, in Fieldshowed how one can do some science without quantifying over mathematical objects, which he took to be a point in favor of nominalism. Instead of numbers mathematical language is taken to talk about possible numerals.
He, too, took this to be a point in favor of nominalism.Selected Philosophical Essays by Chernyshevsky, N. G. and a great selection of similar Used, New and Collectible Books available now at grupobittia.com Find great deals for Selected Philosophical Essays by Carl G.
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Jaegwon Kim is one of the most preeminent and most influential contributors to the philosophy of mind and metaphysics. This collection of essays presents the core of his work on supervenience and mind with two sets of postscripts especially written for the book.
The essays focus on such issues as the nature of causation and events, what dependency relations other than causal relations connect 4/5(1). The idols of self-knowledgeOrdo AmorisPhenomenology and the theory of cognitionThe theory of the three factsIdealism and realism.