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Isogenies, Connectedness, and Lie-Irreducibility

Nicholas M. Katz

in Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153308
eISBN:
9781400842704
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153308.003.0009
Subject:
Mathematics, Number Theory

This chapter takes up the proofs of Theorems 8.1 and 8.2. For each prime to p integer n, we have the n'th power homomorphism [n] : G → G. Formation of the direct image is an exact functor from Perv ... More


Joint Intention and We-Intention

Raimo Tuomela

in The Philosophy of Sociality: The Shared Point of View

Published in print:
2007
Published Online:
September 2007
ISBN:
9780195313390
eISBN:
9780199870929
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195313390.003.0005
Subject:
Philosophy, General

The creation and conceptual nature of full-blown we-mode we-intentions and joint intentions is discussed in this chapter. Intending jointly as a group (= in the we-mode) is taken to entail the ... More


The Explanatory Gap and Dualism Reconsidered

Steven Horst

in Beyond Reduction: Philosophy of Mind and Post-Reductionist Philosophy of Science

Published in print:
2007
Published Online:
September 2007
ISBN:
9780195317114
eISBN:
9780199871520
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195317114.003.0006
Subject:
Philosophy, Philosophy of Mind

This chapter examines the implications of post‐reductionist philosophy of science for dualism and the status of the explanatory gaps. The primary argument for dualism is based on a Negative ... More


Teleology, First Principles, and Scientific Method in Aristotle's Biology

Allan Gotthelf

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199287956
eISBN:
9780191738296
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287956.001.0001
Subject:
Philosophy, Ancient Philosophy, Philosophy of Science

This book — an interconnected set of sixteen chapters, four previously unpublished, addresses in parallel three main topics and Aristotle's three main biological treatises. Starting with a set of six ... More


GL(n) × GL(n) × … × GL(n) Examples

Nicholas M. Katz

in Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153308
eISBN:
9781400842704
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153308.003.0021
Subject:
Mathematics, Number Theory

This chapter investigates the question which begings as follows. Suppose we have a geometrically irreducible middle extension sheaf G on 𝔾ₘ/k which is pure of weight zero, such that the object N := ... More


Aristotle's Conception of Final Causality

Allan Gotthelf

in Teleology, First Principles, and Scientific Method in Aristotle's Biology

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199287956
eISBN:
9780191738296
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287956.003.0001
Subject:
Philosophy, Ancient Philosophy, Philosophy of Science

Starting from the premise that Aristotelian explanation proceeds via the concepts of natures and potentials (and not, say, laws), this chapter argues that for Aristotle the generation of a living ... More


Understanding Aristotle's Teleology

Allan Gotthelf

in Teleology, First Principles, and Scientific Method in Aristotle's Biology

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199287956
eISBN:
9780191738296
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287956.003.0003
Subject:
Philosophy, Ancient Philosophy, Philosophy of Science

This chapter identifies three categories of questions answers to which are required if one is to have a full understanding of Aristotle's teleology: Analysis, Basis, Extent. It then focuses on the ... More


Teleology and Embryogenesis in Aristotle's Generation of Animals II.6

Allan Gotthelf

in Teleology, First Principles, and Scientific Method in Aristotle's Biology

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199287956
eISBN:
9780191738296
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287956.003.0004
Subject:
Philosophy, Ancient Philosophy, Philosophy of Science

This chapter takes a close look at the account across Generation of Animals I–II of the efficient cause of animal generation. The aim is to understand better the relationship of material‐efficient ... More


Non‐reductive Naturalism

Ralph Wedgwood

in The Nature of Normativity

Published in print:
2007
Published Online:
May 2008
ISBN:
9780199251315
eISBN:
9780191719127
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199251315.003.0010
Subject:
Philosophy, Moral Philosophy

This chapter attempts to answer the central objection that many philosophers will raise against the idea (which was defended in the previous chapter) that there are irreducible normative facts. ... More


Distribution Matrices

S. N. Afriat

in Logic of Choice and Economic Theory

Published in print:
1987
Published Online:
November 2003
ISBN:
9780198284611
eISBN:
9780191595844
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198284616.003.0028
Subject:
Economics and Finance, Microeconomics

This is the last of five chapters on optimal programming (the typical mathematics of economics) and related issues as related to choice making, and discusses distribution matrices. The six sections ... More


How agent-causation works II: the irreducibility of powers

Erasmus Mayr

in Understanding Human Agency

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199606214
eISBN:
9780191731631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199606214.003.0008
Subject:
Philosophy, Metaphysics/Epistemology

It is shown that powers are both conceptually and ontologically irreducible to non-power (i.e. categorical) properties. This involves both rejecting the three most influential conceptual analyses of ... More


REALITY AND VALUE

GRAHAM ODDIE

in Value, Reality, and Desire

Published in print:
2005
Published Online:
July 2005
ISBN:
9780199273416
eISBN:
9780191602658
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199273413.003.0001
Subject:
Philosophy, Moral Philosophy

This chapter presents a map of the territory in which the varieties of realism and antirealism are located. Topics covered include realism, the connection between realism and truth, presuppositional ... More


IRREDUCIBLE VALUE

GRAHAM ODDIE

in Value, Reality, and Desire

Published in print:
2005
Published Online:
July 2005
ISBN:
9780199273416
eISBN:
9780191602658
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199273413.003.0006
Subject:
Philosophy, Moral Philosophy

This chapter presents a promising way of defending the determination of value by nature, while resisting reduction. Recent developments in both property theory and value theory help clarify a thesis ... More


Being Realistic about Emergence

Jaegwon Kim

in The Re-Emergence of Emergence: The Emergentist Hypothesis from Science to Religion

Published in print:
2008
Published Online:
October 2011
ISBN:
9780199544318
eISBN:
9780191701351
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199544318.003.0008
Subject:
Religion, Theology, Philosophy of Religion

There are two challenges for the supporters of emergence. The first is to show that emergent properties do not succumb to the threat of epiphenomenalism, and that emergent phenomena can have causal ... More


Kant's Rejection of Reducibility

Rae Langton

in Kantian Humility: Our Ignorance of Things in Themselves

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199243174
eISBN:
9780191597909
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199243174.003.0006
Subject:
Philosophy, History of Philosophy

In his early work (1747‐56), Kant is Leibnizian in his commitment to a distinction between things in themselves and phenomena, grounded on a contrast between intrinsic and relational properties. He ... More


Fitting the Pieces Together

Rae Langton

in Kantian Humility: Our Ignorance of Things in Themselves

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199243174
eISBN:
9780191597909
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199243174.003.0007
Subject:
Philosophy, History of Philosophy

Humility does follow from Receptivity—given Irreducibility. For Leibniz, Reducibility is the mirror that allows relations to be taken as intrinsic properties, phenomena to be taken as monads: ... More


The Irreducibility of the Concept of the Self

Donald Davidson

in Subjective, Intersubjective, Objective: Philosophical Essays Volume 3

Published in print:
2001
Published Online:
November 2003
ISBN:
9780198237532
eISBN:
9780191597312
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198237537.003.0006
Subject:
Philosophy, Metaphysics/Epistemology

Having attacked a number of features that some views have regarded as constitutive of the concept of ‘the self’, Davidson now discusses those features that he thinks should replace the traditional ... More


Consciousness

Thomas Nagel

in Mind and Cosmos: Why the Materialist Neo-Darwinian Conception of Nature is Almost Certainly False

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199919758
eISBN:
9780199980369
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199919758.003.0003
Subject:
Philosophy, General, Philosophy of Science

This chapter discusses the concept of consciousness, which is the most evident barrier to a comprehensive naturalism that relies only on resources of physical science. It reveals that the existence ... More


Solving the Philosophical Mind‐Body Problem

Colin McGinn

in Consciousness and its Objects

Published in print:
2004
Published Online:
January 2005
ISBN:
9780199267606
eISBN:
9780191601798
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019926760X.003.0004
Subject:
Philosophy, Philosophy of Mind

The problem of consciousness is not that there are a number of competing explanatory theories, for which we lack the evidence that would enable us to choose between them; it is that we have no sense ... More


Unsettling Subjectivism about Value

Sarah Stroud

in The Possibility of Philosophical Understanding: Reflections on the Thought of Barry Stroud

Published in print:
2011
Published Online:
January 2012
ISBN:
9780195381658
eISBN:
9780199918317
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195381658.003.0012
Subject:
Philosophy, General, History of Philosophy

This chapter probes Barry Stroud's steadfast opposition to metaphysical subjectivism about value. Stroud argues in his work that global subjectivism about evaluative matters is literally untenable: ... More


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