Towards Scientific Metaphysics Volume 2 Benedykt Bornstein s Geometrical Logic and Modern Philosophy Polish Contemporary Philosophy and Philosophical Humanities by Krzysztof Slezinski 9783631777541 363177754X

Towards Scientific Metaphysics Volume 2 Benedykt Bornstein s Geometrical Logic and Modern Philosophy Polish Contemporary Philosophy and Philosophical Humanities Krzysztof Slezinski – Ebook Instant Download/Delivery ISBN(s): 9783631775325, 3631775326, 9783631777541, 363177754X

Product details:

• ISBN 10: 363177754X
• ISBN 13: 9783631777541
• Author: Krzysztof Slezinski

In the first half of the 20th century, many Polish philosophers focused on defining scientific concepts that could lead to the development of a philosophical synthesis of reality. Benedykt Bornstein elaborated an algebraic logic and developed novum organum philosophiae in the form of geometrical logic, a mathematical system of universal science. It can also be stated that Bornstein was unquestionably the forerunner of philosophers who started research into spatial logic in the second half of the 20th century. The aim of this study on Bornstein’s Geometrical Logic is to draw readers’ attention not only to the algebraic and geometrical tools used in philosophical research, but also to demonstrate its importance for contemporary philosophical discussions which use mathematical tools in topology and category theory.

Table contents:

Part One: Philosophical Logic and Selected Issues in Benedykt Bornstein’s Philosophy

1 From Epistemology to the Ontology of Mathematics and Category Theory

2 From the Algebra of Logic and Projective Geometry to Categorial and Dialectical Geometrical Logic

3 Structural and Ontological Model of whole-being

Part Two: Geometrical Logic.

Introduction: The Idea of Geometrical Logic

CHAPTER I: Geometrization of the Axioms of Algebraic Logic

CHAPTER II: Geometrization of the Theorems of Algebraic Logic

CHAPTER III: The Logical Plane and Space, and their Elements

CHAPTER IV: The Elements of the Categorial Plane and Complete Dual Squares

CHAPTER V: Sets of Four and Six Elements of the Categorial Plane

CHAPTER VI: Harmonic Elements in Geometrical Logic

CHAPTER VII: The Dichotomical and Tetrachotomical Harmonic Division of Concepts in Geometrical Logic

CHAPTER VIII: Specification of Mathematical Pan-Logic

CHAPTER IX: Spatial Forms of Specifications of Pan-Logic

Part Three: Comments and Remarks on Geometrical Logic

1 Algebraic Symbolism

2 Categorial, Geometrical Logic and Whitehead’s Universal Algebra

3 Selection of Axioms for Categorial-Algebraic Logic

4 Interpretation of Algebraic Logic

5 Algebraism of the Categorial and Projective Plane

6 Topological Space of Topologic

7 Idea of Mathematical Categorial Theory in Categorial and Algebraic Logic

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