The Foundations of Mathematics in Leibniz and Schopenhauer / Logica Universalis Webinar July 14
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ISHPSS
Jul 12, 2021, 1:13:09 PM7/12/21
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From: Jean-yves Beziau <bezi...@gmail.com>
Schopenhauer will be the
main course of the next Logica Universalis Webinar
(LUW), July 14, at 4pm German time.
Schopenhauer's ideas in logic are
still not well known.
Recently was published the book
"Language, Logic, and Mathematics
in Schopenhauer"
edited by Jens Lemenski, ex-student
of Matthias Kossler,
the current president of the
Schopenhauer Society.
Both will be present to talk about
this society and this book.
And there will be a talk by Laura
Follesa corresponding to one chapter
of this book:
"From Necessary Truths to Feelings:
The Foundations of Mathematics in
Leibniz and Schopenhauer",
See abstract below or on the page
of the LUW where you can registrate
for this session:
The session will be chaired by
Francesco Paoli, member of the
editorial board of the book series
Studies in Universal Logic where the
book was published
Jean-Yves Beziau
Organizer of the Logica
Universalis Webinar and
Editor-in-Chief of Studies in
Universal Logic
---------------------------------------------------------------------------------------------------------------------
"From Necessary Truths to
Feelings: The Foundations of
Mathematics in Leibniz and
Schopenhauer" by Laura Follesa
I take into account
Schopenhauer’s study of Leibniz’s
work, as it emerges not only from
his explicit critique in his
dissertation On the Fourfold Root of
the Principle of Sufficient Reason
(1813) and in The World as Will and
Idea (3rd edition 1859), but also
from his annotations of Leibniz’s
writings.
Schopenhauer owned many books of Leibniz in his private library and they are full of intriguing annotations. Many of these annotations concern the discussion on logic and mathematical truths and so they are particularly relevant for the study of Schopenhauer’s philosophy of mathematics. After a comparison between Leibniz and Schopenhauer’s definition of necessary and innate truths, I put alongside what the two authors stated about system and fundamental axioms. Two questions arise from Leibniz’s interpretation of Euclid’s axioms: the role of ‘images’ in knowledge and the notion of ‘confused’ knowledge. These two questions are worth of attention, as they allow to focus on Schopenhauer’s theory of ‘feeling’ mathematical knowledge, as I show in the last section of this paper. To Schopenhauer, knowledge works with intuitive representations, intuition, perception, and, for this reason, feeling is the basis of all conceptions. Schopenhauer provided a new point of view regarding feeling and intuitive knowledge that involves a special meaning for his philosophy of mathematics.
Schopenhauer owned many books of Leibniz in his private library and they are full of intriguing annotations. Many of these annotations concern the discussion on logic and mathematical truths and so they are particularly relevant for the study of Schopenhauer’s philosophy of mathematics. After a comparison between Leibniz and Schopenhauer’s definition of necessary and innate truths, I put alongside what the two authors stated about system and fundamental axioms. Two questions arise from Leibniz’s interpretation of Euclid’s axioms: the role of ‘images’ in knowledge and the notion of ‘confused’ knowledge. These two questions are worth of attention, as they allow to focus on Schopenhauer’s theory of ‘feeling’ mathematical knowledge, as I show in the last section of this paper. To Schopenhauer, knowledge works with intuitive representations, intuition, perception, and, for this reason, feeling is the basis of all conceptions. Schopenhauer provided a new point of view regarding feeling and intuitive knowledge that involves a special meaning for his philosophy of mathematics.
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