The Blind Spot

The Blind Spot

Starting with Godel's paradox (1931)--so to speak, the incompleteness of answers with respect to questions--the book proceeds with paradigms inherited from Gentzen's cut-elimination (1935).

Author: Jean-Yves Girard

Publisher: European Mathematical Society

ISBN: 3037190884

Category: Mathematics

Page: 537

View: 842

These lectures on logic, more specifically proof theory, are basically intended for postgraduate students and researchers in logic. The question at stake is the nature of mathematical knowledge and the difference between a question and an answer, i.e., the implicit and the explicit. The problem is delicate mathematically and philosophically as well: the relation between a question and its answer is a sort of equality where one side is ``more equal than the other'': one thus discovers essentialist blind spots. Starting with Godel's paradox (1931)--so to speak, the incompleteness of answers with respect to questions--the book proceeds with paradigms inherited from Gentzen's cut-elimination (1935). Various settings are studied: sequent calculus, natural deduction, lambda calculi, category-theoretic composition, up to geometry of interaction (GoI), all devoted to explicitation, which eventually amounts to inverting an operator in a von Neumann algebra. Mathematical language is usually described as referring to a preexisting reality. Logical operations can be given an alternative procedural meaning: typically, the operators involved in GoI are invertible, not because they are constructed according to the book, but because logical rules are those ensuring invertibility. Similarly, the durability of truth should not be taken for granted: one should distinguish between imperfect (perennial) and perfect modes. The procedural explanation of the infinite thus identifies it with the unfinished, i.e., the perennial. But is perenniality perennial? This questioning yields a possible logical explanation for algorithmic complexity. This highly original course on logic by one of the world's leading proof theorists challenges mathematicians, computer scientists, physicists, and philosophers to rethink their views and concepts on the nature of mathematical knowledge in an exceptionally profound way.
Categories: Mathematics

The Blind Spot

The Blind Spot

In an earlier version of his lecture, Guillet had given a rather different and more
precise interpretation of Prou s intentions: ... "discuss the science and logic [
raisonnements] of the arts of painting and sculpture,"15 but less than four months
later, ...

Author: Jacqueline Lichtenstein

Publisher: Getty Publications

ISBN: 0892368926

Category: Art

Page: 215

View: 887

Beginning in the seventeenth century, the greatest French writers and artists became embroiled in a debate that turned on the priority of painting or sculpture, touch or sight, color or design, ancients or moderns. Jacqueline Lichtenstein guides readers through these historic quarrels, decoding the key terms of the heated discussions and revealing how the players were influenced by the concurrent explosion of scientific discoveries concerning the senses of sight and touch. Drawing on the work of René Descartes, Roger de Piles, Denis Diderot, Charles Baudelaire, and Émile Zola, among others, The Blind Spot lets readers eavesdrop on an energetic and contentious conversation that preoccupied French intellectuals for three hundred years.
Categories: Art

The Logic of Categorial Grammars

The Logic of Categorial Grammars

Advances in Linear Logic. London Mathematical Society Lecture Notes, vol. 222,
pp. 1–42. Cambridge University Press (1995) Girard, J.Y.: The Blind Spot:
Lectures on Logic. European Mathematical Society (2011) Girard, J.Y., Lafont, Y.,
 ...

Author: Richard Moot

Publisher: Springer

ISBN: 9783642315558

Category: Mathematics

Page: 300

View: 456

This book is intended for students in computer science, formal linguistics, mathematical logic and to colleagues interested in categorial grammars and their logical foundations. These lecture notes present categorial grammars as deductive systems, in the approach called parsing-as-deduction, and the book includes detailed proofs of their main properties. The papers are organized in topical sections on AB grammars, Lambek’s syntactic calculus, Lambek calculus and montague grammar, non-associative Lambek calculus, multimodal Lambek calculus, Lambek calculus, linear logic and proof nets and proof nets for the multimodal Lambek calculus.
Categories: Mathematics

Unravelling Complexity The Life and Work of Gregory Chaitin

Unravelling Complexity  The Life and Work of Gregory Chaitin

In Linear Logic in Computer Science, T. Ehrhard, J.-Y. Girard, P. Ruet, and P.
Scott, Eds., London Mathematical Society Lecture Note Series. Cambridge
University Press, Cambridge, UK, 2004, pp. 346–381. Girard, J.-Y. The Blind Spot
: ...

Author: Shyam Wuppuluri and Francisco Antonio Doria

Publisher: World Scientific

ISBN: 9789811200076

Category:

Page:

View: 683

Categories:

Types for Proofs and Programs

Types for Proofs and Programs

Journal of Logic Language and Information, 19(2):229–245, April 2010. 9 Denis
... Logical Aspects of Computational Lin- guistics – 7th International Conference,
LACL 2012, Nantes, France, July 2–4, 2012. ... The blind spotlectures on logic.

Author: Ralph Matthes

Publisher: BoD – Books on Demand

ISBN: 9783735756862

Category: Computers

Page: 280

View: 228

In this LIPIcs proceedings one can find research papers on the following topics: analysis of the classical principles in intuitionistic calculi, type isomorphisms for intersection types, monads and their semantics in functional programming languages, realizability, extensions of type theory, extensions of linear logic, models of type theory, control operators in type systems, formal verification of programs, program extraction, compiler formalization and modelling of natural language features. All papers obtained at least two reviews, and up to six reviews, counting a second round of review.
Categories: Computers

The Logic of the Lure

The Logic of the Lure

This folded space, for instance, was the place through which Foucault passed, in
his inaugural lecture at the Collège de ... Vi. sually, this placeless place is the
blind spot, “the point of... possible disappearance," and its spatial extension is the
 ...

Author: John Paul Ricco

Publisher: University of Chicago Press

ISBN: 0226711005

Category: Art

Page: 181

View: 498

The attraction of a wink, a nod, a discarded snapshot—such feelings permeate our lives, yet we usually dismiss them as insubstantial or meaningless. With The Logic of the Lure, John Paul Ricco argues that it is precisely such fleeting, erotic, and even perverse experiences that will help us create a truly queer notion of ethics and aesthetics, one that recasts sociality and sexuality, place and finitude in ways suggested by the anonymity and itinerant lures of cruising. Shifting our attention from artworks to the work that art does, from subjectivity to becoming, and from static space to taking place, Ricco considers a variety of issues, including the work of Doug Ischar, Tom Burr, and Derek Jarman and the minor architecture of sex clubs, public restrooms, and alleyways.
Categories: Art

Towards New Logic and Semantics

Towards New Logic and Semantics

Franco-Japanese Collaborative Lectures on Philosophy of Logic Jocelyn Benoist
, Jean-Yves Girard, Yoshinori Ogawa ... in this way , it manages to feel this blind
spot where essentialism lies to us , or at least refuses any justification but the « it
 ...

Author: Jocelyn Benoist

Publisher:

ISBN: STANFORD:36105120225052

Category:

Page: 263

View: 470

Categories:

Collected Papers

Collected Papers

But as for the average nominalist whom you meet in the streets, he reminds me of
the blind spot on the retina, ... without lengthening the lecture by more than three
or four minutes, make my account of this generalized logic illustrate some of ...

Author: Charles S. Peirce

Publisher: Harvard University Press

ISBN: 0674138015

Category: Philosophy

Page:

View: 704

Categories: Philosophy

A Literary Symbiosis

A Literary Symbiosis

36 Like many serialized novels , The Blind Spot does suffer awkwardness in
plotting , necessitated by the custom of ending each ... story , as it features ferry
detective Albert Jerome dealing in the traditional logical way with an illogical
situation , a puzzle with too many facets . ... This worthy academic has received
local notoriety with a promised lecture , “ The Blind Spot , ” in which he proposes
to disclose ...

Author: Hazel Pierce

Publisher: Praeger

ISBN: UOM:39015010908104

Category: Literary Criticism

Page: 255

View: 744

A Literary Symbiosis studies the merger of science fiction/fantasy and mystery fiction from historical and critical perspectives. Pierce examines the problems and expectations raised by the various literary labels, particularly as regards definition, theme, conventions, stock characters, and setting. While she admits the difficulties inherent in merging idea-oriented, speculative science fiction with the situation-specific and present-time oriented mystery story, she argues that the two genres have much in common. The book examines critically the elements of mystery fiction which have been integrated with varying degrees of success, into science fiction/fantasy. This evaluation focuses on individual authors and novels or short stories which contributed to the original modes and to their synthesis.
Categories: Literary Criticism

Exact logic published papers and The simplest mathematics

Exact logic  published papers  and The simplest mathematics

But as for the average nominalist whom you meet in the streets , he reminds me
of the blind spot on the retina , so ... lengthening the lecture by more than three or
four minutes , make my account of this generalized logic illustrate some of ( the )
 ...

Author: Charles Sanders Peirce

Publisher:

ISBN: CORNELL:31924001850597

Category: Philosophy

Page:

View: 994

Categories: Philosophy

Transactions of the American Philological Association

Transactions of the American Philological Association

48 And the assumption arises from the same cultural blind spot that kept them all
from seeing the poem as a social ... in Latin hendecasyllables and elegiacs by
their humanist patrons - - some of whom must have been in the lecture hall .

Author: American Philological Association

Publisher:

ISBN: UOM:39015062100394

Category: Classical literature

Page:

View: 901

Categories: Classical literature

The Bulletin of Symbolic Logic

The Bulletin of Symbolic Logic

... the honourable choice when presented with the alternative of either opening
his lectures with the Hitler salute or losing his ... So his ' blind spot ' may have
been suggested by his foundational views . ... was a victim of the same
phenomenon : In 1922 he basically proved the completeness theorem for
predicate logic ( cf .

Author:

Publisher:

ISBN: UOM:39015050421919

Category: Electronic journals

Page: 26

View: 120

Categories: Electronic journals

Instructors Resource Manual

Instructors Resource Manual

The blind spot can also be experienced if you ask students to focus on a mark on
the chalkboard . ... Lecture Example 3.7 : Holding Your Eyeball Our perception
systems have a great need for constant variation in stimulation . ... When words
were stabilized and then vanished , they did so in a logical and meaningful way .

Author: Baron

Publisher:

ISBN: 0205321666

Category: Psychology

Page: 227

View: 753

Categories: Psychology

Psychology

Psychology

5 for a more traditional example of the blind spot . upper corner of the eye . ... Ask
your students to explain what happens as the letter disappeared and then
reappeared in the context of the blind spot . ... Lecture Example 3 . ... When words
were stabilized and then vanished , they did so in a logical and meaningful way .

Author: Robert A. Baron

Publisher: Allyn & Bacon

ISBN: 0205272886

Category:

Page:

View: 484

Categories:

Industrial Engineering

Industrial Engineering

The blind-spot of EOQ logic has always been that setup costs are both fixed and
high. ... Through lectures and demonstrations, he taught the brilliant yet simple
approach to setup time reduction he developed at Toyota: the SMED system ...

Author:

Publisher:

ISBN: UCSD:31822017677006

Category: Industrial engineering

Page:

View: 702

Categories: Industrial engineering

Synoptic Lectures on the Comparative Anatomy of the Chordates

Synoptic Lectures on the Comparative Anatomy of the Chordates

Paired eyes in vertebrates start their embryological development as optic
vesicles , which evaginate laterad from the ... do not develop at the point of
closure of the fissure where the optic nerve passes through the retina , a blind
spot resulting .

Author: Alfred Henry Stockard

Publisher:

ISBN: UOM:39076006448448

Category: Anatomy, Comparative

Page: 189

View: 138

Categories: Anatomy, Comparative

Psychology

Psychology

Lecture Topic 4 . ... When words were stabilized and then vanished , they did so
in a logical and meaningful way . ... 3 : The Blind Spot Students will find this
visual activity fun as they experience their blind spot using Handout S & P 4 .

Author: Neil R. Carlson

Publisher:

ISBN: UVA:X002670825

Category: Psychology

Page: 682

View: 744

This edition continues to treat the discipline as an experimental and natural science, combining a scholarly survey of research with applications of research results to problems that confront us today. KEY TOPICS: Emphasizes psychology as a science. Includes topics such as heredity, behavior genetics, sociobiology, and health psychology. Copyright © Libri GmbH. All rights reserved.
Categories: Psychology

The Philosopher s Gaze

The Philosopher s Gaze

Thus, as Heidegger states the point in his Parmenides lectures (PE 151, PG 224),
it is ultimately a question of our caring, our ... and therefore called attention to the
difficulties faced in discerning and overcoming the presence of a certain "blind
spot" operating, as he put it, ... Bringing out the logic of the perceptual field and its
dimensionality, he argued that we must give up our metaphysical illusions and ...

Author: David Michael Levin

Publisher: Univ of California Press

ISBN: 0520922565

Category: Philosophy

Page: 502

View: 623

David Michael Levin's ongoing exploration of the moral character and enlightenment-potential of vision takes a new direction in The Philosopher's Gaze. Levin examines texts by Descartes, Husserl, Wittgenstein, Nietzsche, Heidegger, Benjamin, Merleau-Ponty, and Lévinas, using our culturally dominant mode of perception and the philosophical discourse it has generated as the site for his critical reflections on the moral culture in which we are living. In Levin's view, all these philosophers attempted to understand, one way or another, the distinctive pathologies of the modern age. But every one also attempted to envision—if only through the faintest of traces, traces of mutual recognition, traces of another way of looking and seeing—the prospects for a radically different lifeworld. The world, after all, inevitably reflects back to us the character, the reach and range, of our vision. In these provocative essays, the author draws on the language of hermeneutical phenomenology and at the same time refines phenomenology itself as a method of working with our experience and thinking critically about the culture in which we live.
Categories: Philosophy

Collected Papers of Charles Sanders Peirce Edited by Charles Hartshorne and Paul Weiss Exact logic published papers and the simplest mathematics

Collected Papers of Charles Sanders Peirce   Edited by Charles Hartshorne and Paul Weiss  Exact logic  published papers  and the simplest mathematics

But as for the average nominalist whom you meet in the streets , he reminds me
of the blind spot on the retina , so ... lengthening the lecture by more than three or
four minutes , make my account of this generalized logic illustrate some of [ the ] ...

Author: Charles Sanders Peirce

Publisher:

ISBN: UOM:49015000808684

Category: Philosophy

Page:

View: 584

Categories: Philosophy