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announcement
PHILOMATICS AFTERNOONS
UNIVERSITÉ
PARIS 7 - CNRS
INSTITUT DE MATHÉMATIQUES - INSTITUT HENRI POINCARÉ
EUROPEAN COMMUNITY
INSTITUT
HENRI POINCARÉ
11, Rue Pierre et Marie Curie - 75005 PARIS
ROOM 421
COORDINATOR: S. OFMAN
MAY, 12th and
13th, 2009
ON
NEGATION, FROM GREEK ANTIQUITY GRECQUE TO NOWDAYS II
The
meeting will be followed by a RECITAL Schubert and Brahms, Bernard Vitrac
baryto and Loup Verlet at the piano
Tuesday
MAY, 12th: 14h30-18h30, room 314
14h30-15h30: Alain PROUTÉ (Logique Mathématique-Paris7): Why does a non classic logic exist ?
15h45-16h45: Bernard
VITRAC (CNRS-Centre Louis Gernet): The
uses of the negative in the proofs of
17h-18h: Fabio
ACERBI (CNRS-UMR 8163 STL): Theory and practice of the negation in Greek
mathematics and logic
Abstract:
: The talk presents
the different kinds of negative statements employed in Greek mathematical
style. The mathematical practice is compared with the doctrines of the
principal logical schools, in particular with the very strict prescriptions of
Stoic logic about the position of the negation within a statement.
18h-18h30:
Group discussion
Wednesday
MAY, 12th: 14h30-17h45, amphi Darboux
14h30-15h30:
Anatole KHÉLIF (Logique Mathématique-Paris7) : Quantum Mechanics,
Categories, Tovariance and Universal Limits
Abstract:
In Quantum Mechanics, classical logic does not hold for the possible
states of a physical system is "the set of the states" a true
set? Two tracks are mentioned: then tovariance principle and the universal
limits. We will also discuss about a "measure" of the distance with
the classical logic.
15h45-16h45 : Pierre BAUDOT (CNRS-
Institut des systèmes complexes) : Negation, differentiation and
irreversibility
Abstract: The duality between
experiences and models, and the inherent contradictions they continually
generate in science (and which motivate science), is at the heart of the
Neuroscience’s empirical and theoretical investigations which aims at modelling
lived experiences. Following a work initiated by Mr Poincaré, illustrated here
by psychophysical experiments, we will show how topology allows lifting those
contradictions, and will propose that perception is by nature topological.
More riskily and to discuss the preceding conference of Mr Prouté, we will
propose that this topological “Being” could constitute a finite constructivist
model. In a second part, we will show how this topology is embodied in the
cortical mechanisms and processes and how it can be expressed in terms of
information-entropy and in a framework analogous to what has been developed in
out-of-equilibrium thermodynamic.
If time allows it, we will investigate hard questions concerning the definition
of an evolution law that can be resumed in-fine
to find a topological signature of the physical space and time (in information
positivity vs. negativity?).
17h-17h45 :
General discussion with the participation of F. Acerbi, P. Baudot, D.
Bennequin, A. Khélif, M. Lachièze-Rey, A. Prouté, B. Vitrac
18h-19h :
RECITAL Schubert and Brahms
SCHUBERT :
6 excerpts from Winterreise (Gute Nacht, Erstarrung, Frühlingstraume, Die
Krähe, Der Wegweiser, Der Leiermann) - Der Tod und das Mädchen - Der
Wanderer- Aufenthalt - Harfenspieler I - Der Atlas - Der
Doppelgänger. BRAHMS : Der Tod das ist die kühle Nacht - Meerfahrt
MAI 2008
21 mai 2008, 14h-18h30: ON THE NEGATION, FROM GREEK
ANTIQUITY TO NOWADAYS
14h-15h: Marc LACHIÈZE-REY (Saclay): Negativies: Space, Time; Symétries and
Dualities in Contemporary Physics
15h15-16h15: Daniel BENNEQUIN (
16h30-17h30: Alain PROUTÉ (
17h30-18h30: General discussion
LECTURES TO
DOWNLOAD
MAY 2009
May 12th, 15h45, Bernard VITRAC: The uses of
the negative in the proofs of Euclid’s Elements
May 12th, 17h, Fabio ACERBI: Theory and practice
of the negation in Greek mathematics and logic
May 13th, 14h30, Anatole KHÉLIF: Quantum
Mechanics, Categories, Tovariance and Universal Limits
May 13th, 15h45, Pierre BAUDOT: Negation,
differentiation and irreversibility
MAY 2008
May 21th, 16h30, Alain PROUTÉ: The Proof by
absurdity
JUNE 2006
June 14, 15h, Bernard VITRAC: The
Proportionality in Euclid's Elements:
foundations and statute
The lecture will be
followed by a discussion on the philosophical and mathematical implications of
the notion of ratio
in Euclid 's Elements, and more generally in the
works of the mathematicians in ancient Greece
JUNE 2004
June
3rd, 16h30, Christine CHAUVIRE: Wittgenstein
anthropologist of the Mathematics
June 10th, 14h30, Salomon OFMAN: Physics of
Movement and Origin of Infinitesimal Calculus
June 10th, 16h30, Michel BLAY: The Speed
after Galilei and Newton or the Construction of the Algorithm of Kinematics
June 11th, 16h30, Maurice CAVEING: The Visual and
the Ideal in Mathematical Objects. Reflexions on the Ancient Geometry
MARCH 2004: LOGIC OF
ETERNITY
March
18th, 16h30, Jean-Pierre COMETTI: Wittgenstein,
the Inner, and the Philosophy of Mind
March 25th, 14h30, Bernard VITRAC: The
difficulties of the Mathematical Analysis of Movement in Ancient Greece
MAY 2003: MAGNITUDE &
MEASURE
May 22nd, 14h, Salomon OFMAN: Introduction:
Plato/Aristotle/Euclid
May
23rd, 14h, Salomon OFMAN: Spinoza
