The Basic Foundations of Transcendental Logic

The Basic Foundations of Transcendental Logic PDF Author: Immanuel Kant
Publisher:
ISBN: 9780899010830
Category :
Languages : en
Pages : 109

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The Basic Foundations of Transcendental Logic

The Basic Foundations of Transcendental Logic PDF Author: Immanuel Kant
Publisher:
ISBN: 9780899010830
Category :
Languages : en
Pages : 109

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Book Description


Logic from Kant to Russell

Logic from Kant to Russell PDF Author: Sandra Lapointe
Publisher: Routledge
ISBN: 9780367663346
Category : Analysis (Philosophy)
Languages : en
Pages : 256

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Book Description
The scope and method of logic as we know it today eminently reflect the ground-breaking developments of set theory and the logical foundations of mathematics at the turn of the 20th century. Unfortunately, little effort has been made to understand the idiosyncrasies of the philosophical context that led to these tremendous innovations in the 19thcentury beyond what is found in the works of mathematicians such as Frege, Hilbert, and Russell. This constitutes a monumental gap in our understanding of the central influences that shaped 19th-century thought, from Kant to Russell, and that helped to create the conditions in which analytic philosophy could emerge. The aim of Logic from Kant to Russell is to document the development of logic in the works of 19th-century philosophers. It contains thirteen original essays written by authors from a broad range of backgrounds--intellectual historians, historians of idealism, philosophers of science, and historians of logic and analytic philosophy. These essays question the standard narratives of analytic philosophy's past and address concerns that are relevant to the contemporary philosophical study of language, mind, and cognition. The book covers a broad range of influential thinkers in 19th-century philosophy and analytic philosophy, including Kant, Bolzano, Hegel, Herbart, Lotze, the British Algebraists and Idealists, Moore, Russell, the Neo-Kantians, and Frege.

Formal and transcendental logic

Formal and transcendental logic PDF Author: Edmund Husserl
Publisher: Springer
ISBN: 9401749000
Category : Philosophy
Languages : en
Pages : 359

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called in question, then naturally no fact, science, could be presupposed. Thus Plato was set on the path to the pure idea. Not gathered from the de facto sciences but formative of pure norms, his dialectic of pure ideas-as we say, his logic or his theory of science - was called on to make genuine 1 science possible now for the first time, to guide its practice. And precisely in fulfilling this vocation the Platonic dialectic actually helped create sciences in the pregnant sense, sciences that were consciously sustained by the idea of logical science and sought to actualize it so far as possible. Such were the strict mathematics and natural science whose further developments at higher stages are our modem sciences. But the original relationship between logic and science has undergone a remarkable reversal in modem times. The sciences made themselves independent. Without being able to satisfy completely the spirit of critical self-justification, they fashioned extremely differentiated methods, whose fruitfulness, it is true, was practically certain, but whose productivity was not clarified by ultimate insight. They fashioned these methods, not indeed with the everyday man's naivete, but still with a na!ivete of a higher level, which abandoned the appeal to the pure idea, the justifying of method by pure principles, according to ultimate a priori possibilities and necessities.

The Cambridge Companion to Kant

The Cambridge Companion to Kant PDF Author: Paul Guyer
Publisher: Cambridge University Press
ISBN: 1139824899
Category : Philosophy
Languages : en
Pages : 500

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Book Description
The fundamental task of philosophy since the seventeenth century has been to determine whether the essential principles of both knowledge and action can be discovered by human beings unaided by an external agency. No one philosopher contributed more to this enterprise than Kant, whose Critique of Pure Reason (1781) shook the very foundations of the intellectual world. Kant argued that the basic principles of the natural science are imposed on reality by human sensibility and understanding, and thus that human beings are also free to impose their own free and rational agency on the world. This 1992 volume is the only systematic and comprehensive account of the full range of Kant's writings available, and the first major overview of his work to be published in more than a dozen years. An internationally recognised team of Kant scholars explore Kant's conceptual revolution in epistemology, metaphysics, philosophy of science, moral and political philosophy, aesthetics, and the philosophy of religion.

Husserl and Mathematics

Husserl and Mathematics PDF Author: Mirja Hartimo
Publisher: Cambridge University Press
ISBN: 1108997562
Category : Philosophy
Languages : en
Pages : 419

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Book Description
Husserl and Mathematics explains the development of Husserl's phenomenological method in the context of his engagement in modern mathematics and its foundations. Drawing on his correspondence and other written sources, Mirja Hartimo details Husserl's knowledge of a wide range of perspectives on the foundations of mathematics, including those of Hilbert, Brouwer and Weyl, as well as his awareness of the new developments in the subject during the 1930s. Hartimo examines how Husserl's philosophical views responded to these changes, and offers a pluralistic and open-ended picture of Husserl's phenomenology of mathematics. Her study shows Husserl's phenomenology to be a method capable of both shedding light on and internally criticizing scientific practices and concepts.

Logic

Logic PDF Author: Immanuel Kant
Publisher: Courier Corporation
ISBN: 048611743X
Category : Philosophy
Languages : en
Pages : 290

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Book Description
The second, corrected edition of the first and only complete English translation of Kant's highly influential introduction to philosophy, presenting both the terminological and structural basis for his philosophical system, and offering an invaluable key to his main works, particularly the three Critiques. Extensive editiorial apparatus.

Kant on the Sources of Metaphysics

Kant on the Sources of Metaphysics PDF Author: Marcus Willaschek
Publisher: Cambridge University Press
ISBN: 110847263X
Category : Philosophy
Languages : en
Pages : 311

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Book Description
Detailed exploration of the Transcendental Dialectic, in which Kant uncovers the sources of metaphysics in human reason.

The Transcendental Coaxiological Mathematics

The Transcendental Coaxiological Mathematics PDF Author: Sorin Cerin
Publisher: Amazon
ISBN:
Category : Philosophy
Languages : en
Pages : 304

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Book Description
Transcendental Coaxiological Mathematics gives each number not only an abstract identity, but, a living one, due to the Imprint that each Number leaves, both in our surrounding Universe and in other Universes, whether they are parallel or not. This Imprint is due to the fact that each Number in turn represents a Creator Factor and Unique Incidentally, which represents the meaning of a certain Word therefore Understood, which in turn is part of the Universal Pure Language. The totality of the Words from the Universal Pure Language, constitutes the Unique Expression of the Universal Consciousness.These Imprints can be identified, to some extent, by Transcendental Numbers or by Transcendental Functions which prove that certain values cannot be changed to obtain some ideational representations, such as the example circle, whose coordinates are definitively influenced by the transcendental number π (Pi), i.e. 3.14. In the future, surely many Transcendental Numbers will be discovered that will help Mankind to identify through Mathematics not only abstract representations, but even states of soul. Each Number represents a different identity depending on the Universe in which it is located. In the essence of each Number is the Creator Factor and Unique Incidentally which governs it, essence that defines the soul of the respective Number, that is of the Creator Factor and Unique Incidentally that represents the Number in question. Transcendental Coaxiological Mathematics is the one that defines the processes, of the Universal Pure Language, whose Words, in turn, are each, in part, the expression of a Creator Factor and Unique Incidentally, that is, of a Number, whose totality, defines the Universal Unique Consciousness. Through Transcendental Coaxiological Mathematics, the science of mathematics becomes from an abstract discipline, a living one, which receives soul, which in turn gives to mathematics and a humanistic side. Thanks to Transcendental Coaxiological Mathematics in the future we will be able to talk and about a mathematics of spiritual feelings, such as Religion, Love, Hate, Happiness, Sadness, Pain, Pride, Courage, etc. Transcendental Coaxiological Mathematics will be able to solve many mysteries of the human soul in the future, being the only link that can build a bridge between us and the Truth that is so Unknown to us because everything we live and feel is due to the Illusion of Life. Transcendental Coaxiological Mathematics will be the literature of the future of Artificial Intelligence. At the basis of Transcendental Coaxiological Mathematics is Semantic Coaxiology, but also Coaxiological Logic, these fields of Coaxialism. Transcendental numbers, such as the number π (Pi), for example, prove to us concretely that Transcendental Coaxiological Mathematics exists by the fact that there is a link of concrete causality between the geometrical representation of the circle and the transcendental number π (Pi,. The number π (Pi), can never be, neither smaller, but nor larger than 3.14 to become operational in the calculations related to the circle. While the circle is a geometric figure that has an active role in human knowledge and feeling. Here is one of the links that proves to us that Transcendental Coaxiological Mathematics exists and that it only needs to be developed. Through my philosophical works I have tried to lay the foundations of what Transcendental Coaxiological Mathematics means from a philosophical point of view and how it can be determined. The principles of my philosophical system called Coaxialism as well as those of Coaxiological Logic are in law and de facto in turn the basic principles of Transcendental Coaxiological Mathematics. Transcendental Coaxiological Mathematics is a bridge between us who are lost in the Illusions of Life with the Absolute Truth. In transcendental reality there are an infinity of transcendental numbers, only that we will not be able to know them with the reduced capacities of our present brain, a brain that thinks only with about a tenth of its capacity, which has been attributed to it by natural evolution. Maybe somewhere in our distant history there was a genetic accident, more precisely a genetic intervention, from the exterior, on the human genome, an intervention that led to the constraint of using the full capacity of our brain for reasons unknown to us. Nature never makes an organ evolve without any meaning but with a certain purpose, in the case of our brain, the purpose being that to think and perceive through it, the World. Thus we can say that somewhere in the mists of history our ancestors had other abilities to discern the World from us. Returning to the transcendental numbers, which are revealed to us only a few of their infinity, as many as would exist in reality. Every object, thing, phenomenon or physico-chemical process that surrounds us is the work of transcendental numbers, which one day we will discover with the help of Artificial Intelligence. Only then will we be able to talk about Mathematical Psychology, the one which will become the basic branch of Transcendental Coaxiological Mathematics. Even a poem or a song will be understood through transcendental numbers and Transcendental Coaxiological Mathematics. The time will come when the letters that make up literary pages can be replaced with numbers, which we will understand and feel same like some words, only that for this we will have to develop our own brain on another level. A thing that is possible with the help of Artificial Intelligence. In the future, Transcendental Functions and Transcendental Numbers will be the ones that will form the backbone of Transcendental Coaxiological Mathematics in relation to the process of Knowledge, a field that will have to be developed, especially by Artificial Intelligence. What is known so far about these Transcendental Functions, according to the Encyclopedia Britannica, is that, I quote: “ In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function In other words, a transcendental function "transcends" algebra in that it cannot be expressed in terms of a finite sequence of the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and root extraction” end quote. Examples of transcendental functions include the exponential function, the logarithm, and the trigonometric functions.

Problems and Methods of Transcendental Logic

Problems and Methods of Transcendental Logic PDF Author: Immanual Kant
Publisher:
ISBN: 9780899014265
Category :
Languages : en
Pages : 600

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Mathematics of the Transcendental

Mathematics of the Transcendental PDF Author: Alain Badiou
Publisher: A&C Black
ISBN: 1441130381
Category : Philosophy
Languages : en
Pages : 291

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Book Description
In Mathematics of the Transcendental, Alain Badiou painstakingly works through the pertinent aspects of category theory, demonstrating their internal logic and veracity, their derivation and distinction from set theory, and the 'thinking of being'. In doing so he sets out the basic onto-logical requirements of his greater and transcendental logics as articulated in his magnum opus, Logics of Worlds. Previously unpublished in either French or English, Mathematics of the Transcendental provides Badiou's readers with a much-needed complete elaboration of his understanding and use of category theory. The book is vital to understanding the mathematical and logical basis of his theory of appearing as elaborated in Logics of Worlds and other works and is essential reading for his many followers.