Crispin James Garth Wright (; born 21 December 1942) is a
British
British may refer to:
Peoples, culture, and language
* British people, nationals or natives of the United Kingdom, British Overseas Territories, and Crown Dependencies.
** Britishness, the British identity and common culture
* British English, ...
philosopher
A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek th ...
, who has written on
neo-Fregean (neo-logicist)
philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's ...
,
Wittgenstein
Ludwig Josef Johann Wittgenstein ( ; ; 26 April 1889 – 29 April 1951) was an Austrians, Austrian-British people, British philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy o ...
's later
philosophy
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. Some ...
, and on issues related to
truth
Truth is the property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth 2005 In everyday language, truth is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as beliefs ...
,
realism
Realism, Realistic, or Realists may refer to:
In the arts
*Realism (arts), the general attempt to depict subjects truthfully in different forms of the arts
Arts movements related to realism include:
*Classical Realism
*Literary realism, a move ...
,
cognitivism,
skepticism
Skepticism, also spelled scepticism, is a questioning attitude or doubt toward knowledge claims that are seen as mere belief or dogma. For example, if a person is skeptical about claims made by their government about an ongoing war then the pe ...
,
knowledge
Knowledge can be defined as awareness of facts or as practical skills, and may also refer to familiarity with objects or situations. Knowledge of facts, also called propositional knowledge, is often defined as true belief that is distinc ...
, and
objectivity. He is Professor of Philosophy at
New York University
New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin.
In 1832, the ...
and Professor of Philosophical Research at the
University of Stirling
The University of Stirling (, gd, Oilthigh Shruighlea (abbreviated as Stir or Shruiglea, in post-nominals) is a public university in Stirling, Scotland, founded by royal charter in 1967. It is located in the Central Belt of Scotland, built w ...
, and taught previously at the
University of St Andrews
(Aien aristeuein)
, motto_lang = grc
, mottoeng = Ever to ExcelorEver to be the Best
, established =
, type = Public research university
Ancient university
, endowment ...
,
University of Aberdeen
The University of Aberdeen ( sco, University o' 'Aiberdeen; abbreviated as ''Aberd.'' in List of post-nominal letters (United Kingdom), post-nominals; gd, Oilthigh Obar Dheathain) is a public university, public research university in Aberdeen, Sc ...
,
Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
and
University of Michigan
, mottoeng = "Arts, Knowledge, Truth"
, former_names = Catholepistemiad, or University of Michigania (1817–1821)
, budget = $10.3 billion (2021)
, endowment = $17 billion (2021)As o ...
.
Life and career
Wright was born in Surrey and was educated at
Birkenhead School
Birkenhead School is an independent, academically-selective, co-educational day school located in Oxton, Wirral, in North West England. The school offers educational opportunities for girls and boys from three months to eighteen years of age. ...
(1950–61) and at
Trinity College, Cambridge
Trinity College is a constituent college of the University of Cambridge. Founded in 1546 by Henry VIII, King Henry VIII, Trinity is one of the largest Cambridge colleges, with the largest financial endowment of any college at either Cambridge ...
, graduating in Moral Sciences in 1964 and taking a
PhD in 1968. He took an Oxford
BPhil
Bachelor of Philosophy (BPhil, BPh, or PhB; la, Baccalaureus Philosophiae or ) is the title of an academic degree that usually involves considerable research, either through a thesis or supervised research projects. Unlike many other bachelor's d ...
in 1969 and was elected Prize Fellow and then Research Fellow at
All Souls College, Oxford
All Souls College (official name: College of the Souls of All the Faithful Departed) is a constituent college of the University of Oxford in England. Unique to All Souls, all of its members automatically become fellows (i.e., full members of t ...
, where he worked until 1978. He then moved to the
University of St. Andrews
(Aien aristeuein)
, motto_lang = grc
, mottoeng = Ever to ExcelorEver to be the Best
, established =
, type = Public research university
Ancient university
, endowment ...
, where he was appointed Professor of Logic and Metaphysics and then the first Bishop Wardlaw University Professorship in 1997. In fall 2008, he became professor in the
Department of Philosophy at
New York University
New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin.
In 1832, the ...
(NYU). He has also taught at the
University of Michigan
, mottoeng = "Arts, Knowledge, Truth"
, former_names = Catholepistemiad, or University of Michigania (1817–1821)
, budget = $10.3 billion (2021)
, endowment = $17 billion (2021)As o ...
,
Oxford University
Oxford () is a city in England. It is the county town and only city of Oxfordshire. In 2020, its population was estimated at 151,584. It is north-west of London, south-east of Birmingham and north-east of Bristol. The city is home to the ...
,
Columbia University
Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...
, and
Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
. Crispin Wright was founder and director of Arché at the University of St. Andrews, which he left in September 2009 to take up leadership of the Northern Institute of Philosophy (NIP) at the
University of Aberdeen
The University of Aberdeen ( sco, University o' 'Aiberdeen; abbreviated as ''Aberd.'' in List of post-nominal letters (United Kingdom), post-nominals; gd, Oilthigh Obar Dheathain) is a public university, public research university in Aberdeen, Sc ...
. Once NIP ceased operations in 2015, Wright moved to the
University of Stirling
The University of Stirling (, gd, Oilthigh Shruighlea (abbreviated as Stir or Shruiglea, in post-nominals) is a public university in Stirling, Scotland, founded by royal charter in 1967. It is located in the Central Belt of Scotland, built w ...
. He is still professor at NYU.
Philosophical work
In the philosophy of mathematics, he is best known for his book ''Frege's Conception of Numbers as Objects'' (1983), where he argues that Frege's
logicist project could be revived by removing the
axiom schema of unrestricted comprehension (sometimes referred to as
Basic Law V In metalogic and metamathematics, Frege's theorem is a metatheorem that states that the Peano axioms of arithmetic can be derived in second-order logic from Hume's principle. It was first proven, informally, by Gottlob Frege in his 1884 ''Die Grund ...
) from the
formal system
A formal system is an abstract structure used for inferring theorems from axioms according to a set of rules. These rules, which are used for carrying out the inference of theorems from axioms, are the logical calculus of the formal system.
A form ...
.
Arithmetic
Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers— addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th ...
is then derivable in
second-order logic
In logic and mathematics, second-order logic is an extension of first-order logic, which itself is an extension of propositional logic. Second-order logic is in turn extended by higher-order logic and type theory.
First-order logic quantifies onl ...
from
Hume's principle
Hume's principle or HP says that the number of ''F''s is equal to the number of ''G''s if and only if there is a one-to-one correspondence (a bijection) between the ''F''s and the ''G''s. HP can be stated formally in systems of second-order logic. ...
. He gives informal
argument
An argument is a statement or group of statements called premises intended to determine the degree of truth or acceptability of another statement called conclusion. Arguments can be studied from three main perspectives: the logical, the dialectic ...
s that (i)
Hume's
principle
A principle is a proposition or value that is a guide for behavior or evaluation. In law, it is a Legal rule, rule that has to be or usually is to be followed. It can be desirably followed, or it can be an inevitable consequence of something, suc ...
plus second-order logic is
consistent
In classical deductive logic, a consistent theory is one that does not lead to a logical contradiction. The lack of contradiction can be defined in either semantic or syntactic terms. The semantic definition states that a theory is consistent i ...
, and (ii) from it one can produce the
Dedekind–Peano axioms. Both results were
proven
Proven is a rural village in the Belgian province of West Flanders, and a "deelgemeente" of the municipality Poperinge. The village has about 1400 inhabitants.
The church and parish of Proven are named after Saint Victor. The Saint Victor Chur ...
informally by Gottlob Frege (
Frege's Theorem In metalogic and metamathematics, Frege's theorem is a metatheorem that states that the Peano axioms of arithmetic can be derived in second-order logic from Hume's principle. It was first proven, informally, by Gottlob Frege in his 1884 ''Die Gru ...
), and would later be more rigorously proven by
George Boolos
George Stephen Boolos (; 4 September 1940 – 27 May 1996) was an American philosopher and a mathematical logician who taught at the Massachusetts Institute of Technology.
Life
Boolos is of Greek-Jewish descent. He graduated with an A.B. i ...
and Richard Heck. Wright is one of the major proponents of
neo-logicism
In the philosophy of mathematics, logicism is a programme comprising one or more of the theses that — for some coherent meaning of 'logic' — mathematics is an extension of logic, some or all of mathematics is reducible to logic, or some or al ...
, alongside his frequent collaborator
Bob Hale. He has also written ''Wittgenstein and the Foundations of Mathematics'' (1980).
In general metaphysics, his most important work is ''Truth and Objectivity'' (Harvard University Press, 1992). He argues in this book that there need be no single, discourse-invariant thing in which
truth
Truth is the property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth 2005 In everyday language, truth is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as beliefs ...
consists, making an analogy with
identity
Identity may refer to:
* Identity document
* Identity (philosophy)
* Identity (social science)
* Identity (mathematics)
Arts and entertainment Film and television
* ''Identity'' (1987 film), an Iranian film
* ''Identity'' (2003 film), ...
. There need only be some
principle
A principle is a proposition or value that is a guide for behavior or evaluation. In law, it is a Legal rule, rule that has to be or usually is to be followed. It can be desirably followed, or it can be an inevitable consequence of something, suc ...
s regarding how the truth
predicate
Predicate or predication may refer to:
* Predicate (grammar), in linguistics
* Predication (philosophy)
* several closely related uses in mathematics and formal logic:
**Predicate (mathematical logic)
**Propositional function
**Finitary relation, o ...
can be applied to a
sentence, some 'platitudes' about true sentences. Wright also argues that in some contexts, probably including
moral
A moral (from Latin ''morālis'') is a message that is conveyed or a lesson to be learned from a story or event. The moral may be left to the hearer, reader, or viewer to determine for themselves, or may be explicitly encapsulated in a maxim. A ...
contexts, superassertibility will effectively function as a truth predicate. He
defines a predicate as superassertible if and only if it is "assertible" in some state of information and then remains so no matter how that state of information is enlarged upon or improved. Assertiveness is
warrant by whatever standards inform the
discourse
Discourse is a generalization of the notion of a conversation to any form of communication. Discourse is a major topic in social theory, with work spanning fields such as sociology, anthropology, continental philosophy, and discourse analysis. ...
in question. Many of his most important papers in philosophy of language, epistemology, philosophical logic, meta-ethics, and the interpretation of Wittgenstein have been collected in the two volumes published by
Harvard University Press
Harvard University Press (HUP) is a publishing house established on January 13, 1913, as a division of Harvard University, and focused on academic publishing. It is a member of the Association of American University Presses. After the retirem ...
in 2001 and 2003.
In epistemology, Wright has argued that
G. E. Moore
George Edward Moore (4 November 1873 – 24 October 1958) was an English philosopher, who with Bertrand Russell, Ludwig Wittgenstein and earlier Gottlob Frege was among the founders of analytic philosophy. He and Russell led the turn from ideal ...
's proof of an
external world
Reality is the sum or aggregate of all that is real or existent within a system, as opposed to that which is only imaginary. The term is also used to refer to the ontological status of things, indicating their existence. In physical terms, r ...
("
Here is one hand
Here is one hand is an epistemological argument created by G. E. Moore in reaction against philosophical skepticism and in support of common sense.
The argument takes the following form:
* Here is one hand,
* And here is another.
* There are at l ...
") is logically valid but cannot transmit warrant from its premise to the conclusion, as it instantiates a form of epistemic circularity called by him "warrant transmission failure". Wright has also developed a variant of
Ludwig Wittgenstein
Ludwig Josef Johann Wittgenstein ( ; ; 26 April 1889 – 29 April 1951) was an Austrian-British philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language. He is considere ...
's hinge epistemology, introduced in Wittgenstein's
On Certainty
''On Certainty'' (german: Über Gewissheit, original spelling ) is a philosophical book composed from notes written by Ludwig Wittgenstein over four separate periods in the eighteen months before his death on 29 April 1951. He left his initial not ...
as a response to radical skepticism. According to hinge epistemology, there are assumptions or presuppositions of any enquiry – called "hinge propositions" – that cannot themselves be rationally doubted, challenged, established or defended. Wright contends that certain hinge propositions can actually be rationally held because there exists a type of non-evidential, ''a priori'' warrant – which Wright calls "epistemic entitlement" – for accepting them as true.
Awards
* Fellow of the
American Academy of Arts and Sciences
The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and ...
, 2012
*
Leverhulme Trust
The Leverhulme Trust () is a large national grant-making organisation in the United Kingdom. It was established in 1925 under the will of the 1st Viscount Leverhulme (1851–1925), with the instruction that its resources should be used to suppo ...
Personal Research Professor, 1998–2003
* FRSE:
Fellow of the Royal Society of Edinburgh
Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland's national academy of science and letters, judged to be "eminently distinguished in their subject". This soci ...
, 1996
* FBA:
Fellow of the British Academy
Fellowship of the British Academy (FBA) is an award granted by the British Academy to leading academics for their distinction in the humanities and social sciences. The categories are:
# Fellows – scholars resident in the United Kingdom
# C ...
, 1992
britac.ac.uk
/ref>
* British Academy
The British Academy is the United Kingdom's national academy for the humanities and the social sciences.
It was established in 1902 and received its royal charter in the same year. It is now a fellowship of more than 1,000 leading scholars span ...
Research Reader, 1990–2
* Fulbright scholar
The Fulbright Program, including the Fulbright–Hays Program, is one of several United States Cultural Exchange Programs with the goal of improving intercultural relations, cultural diplomacy, and intercultural competence between the people of ...
at Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
, 1985-6
* Prize Fellow, All Souls College
All Souls College (official name: College of the Souls of All the Faithful Departed) is a constituent college of the University of Oxford in England. Unique to All Souls, all of its members automatically become fellows (i.e., full members of t ...
, Oxford
Oxford () is a city in England. It is the county town and only city of Oxfordshire. In 2020, its population was estimated at 151,584. It is north-west of London, south-east of Birmingham and north-east of Bristol. The city is home to the ...
, 1969–71
Books
*''Wittgenstein on the Foundations of Mathematics'' (Harvard University Press, 1980)
*''Frege's Conception of Numbers as Objects'' (Humanities Press 1983)
*''Truth and Objectivity'' (Harvard University Press, 1992)
*''Realism, Meaning, and Truth,'' 2nd edition (Blackwell 1993)
*''The Reason's Proper Study'' (co-authored with Bob Hale) (Oxford University Press, 2001)
*''Rails to Infinity'' (Harvard University Press, 2001)
*''Saving the Differences'' (Harvard University Press, 2003).
References
External links
*
*
*
*
*
*
{{DEFAULTSORT:Wright, Crispin
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