Mathematics—Application and Applicability

Author(s):  
Mark Steiner

To an unappreciated degree, the history of Western philosophy is the history of attempts to understand why mathematics is applicable to Nature, despite apparently good reasons to believe that it should not be. A cursory look at the great books of philosophy bears this out. Plato's Republic invokes the theory of “participation” to explain why, for instance, geometry is applicable to ballistics and the practice of war, despite the Theory of Forms, which places mathematical entities in a different (higher) realm of being than that of empirical Nature. This argument is part of Plato's general claim that theoretical learning, in the end, is more useful than “practical” pursuits. John Stuart Mill's account of the applicability of mathematics to nature is unique: it is the only one of the major Western philosophies which denies the major premise upon which all other accounts are based. Mill simply asserts that mathematics itself is empirical, so there is no problem to begin with.

2019 ◽  
Vol 1 (1) ◽  
pp. 5-14
Author(s):  
Carlos Alvaréz Teijeiro

Emmanuel Lévinas, the philosopher of ethics par excellence in the twentieth century, and by own merit one of the most important ethical philosophers in the history of western philosophy, is also the philosopher of the Other. Thereby, it can be said that no thought has deepened like his in the ups and downs of the ethical relationship between subject and otherness. The general objective of this work is to expose in a simple and understandable way some ideas that tend to be quite dark in the philosophical work of the author, since his profuse religious production will not be analyzed here. It is expected to show that his ideas about the being and the Other are relevant to better understand interpersonal relationships in times of 4.0 (re)evolution. As specific objectives, this work aims to expose in chronological order the main works of the thinker, with special emphasis on his ethical implications: Of the evasion (1935), The time and the Other (1947), From the existence to the existent (1947), Totality and infinity: An essay on exteriority (1961) and, last, Otherwise than being, or beyond essence (1974). In the judgment of Lévinas, history of western philosophy starting with Greece, has shown an unusual concern for the Being, this is, it has basically been an ontology and, accordingly, it has relegated ethics to a second or third plane. On the other hand and in a clear going against the tide movement, our author supports that ethics should be considered the first philosophy and more, even previous to the proper philosophize. This novel approach implies, as it is supposed, that the essential question of the philosophy slows down its origin around the Being in order to inquire about the Other: it is a philosophy in first person. Such a radical change of perspective generates an underlying change in how we conceive interpersonal relationships, the complex framework of meanings around the relationship Me and You, which also philosopher Martin Buber had already spoken of. As Lévinas postulates that ethics is the first philosophy, this involves that the Other claims all our attention, intellectual and emotional, to the point of considering that the relationship with the Other is one of the measures of our identity. Thus, “natural” attitude –husserlian word not used by Lévinas- would be to be in permanent disposition regarding to the meeting with the Other, to be in permanent opening state to let ourselves be questioned by him. Ontology, as the author says, being worried about the Being, has been likewise concerned about the Existence, when the matter is to concern about the particular Existent that every otherness supposes for us. In conclusion it can be affirmed that levinasian ethics of the meeting with the Other, particular Face, irreducible to the assumption, can contribute with an innovative looking to (re)evolving the interpersonal relationships in a 4.0 context.


Think ◽  
2021 ◽  
Vol 20 (58) ◽  
pp. 23-38
Author(s):  
Emily Thomas

ABSTRACTWhat is time? Just like everything else in the world, our understanding of time has changed continually over time. This article tracks this question through the history of Western philosophy and looks at major answers from the likes of Aristotle, Kant, and McTaggart.


Author(s):  
Jauhan Budiwan

Immanuel Kant is one of the most influential philosophers in the history of Western philosophy. His contributions to metaphysics, epistemology, ethics, and aesthetics have had a profound impact on almost every philosophical movement that followed him. This portion will focus on his metaphysics and epistemology in one of his most important works. The Critique of Pure Reason, A large part of Kant’s work addresses the question “What can we know?” The answer, if it can be stated simply, is that our knowledge is constrained to mathematics and the science of the -natural, empirical world. It is impossible, Kant argues, to extend knowledge to the supersensible realm of speculative metaphysics. The reason that knowledge has these constraints, Kant argues, is that the mind plays an active role in constituting the features of experience and limiting the mind's access to the empirical realm of space and time. In order to understand Kant's position, we must understand the philosophical background that he was reacting to. First, 1 will present a brief overview of his predecessor's positions with a brief statement of Kant's objections, then I will return to a more detailed exposition of Kant's arguments. There are two major historical movements in the early modem period of philosophy that had a significant impact on Kant; Empiricism and Rationalism,


2021 ◽  
Vol 113 (2) ◽  
pp. 221-234
Author(s):  
Pieter Pekelharing

Abstract Western philosophy and the tightrope between faith and knowledge In Auch eine Geschichte der Philosophie (2019), Habermas develops a new view of the history of philosophy. Dating philosophy back to the axial age, he presents its history as the result of a collective learning process, spanning a period of three millennia. In this new approach he highlights the crucial importance of faith and religion which resulted in a specific constellation of belief and knowledge that, though unique to the West, has universal import, and led to greater ‘reasonable freedom (Vernüftige Freiheit). In Habermas’ view The West’s Judeo-Christian heritage was not a passing phase in the emergence of modern thought and politics, but contributed its essential core. Though sympathetic to the idea of learning processes spanning many centuries, one may ask whether reasoning and learning processes always tend to lead, as Habermas claims, in the direction of greater freedom instead of its opposite. In this respect Habermas could have learnt more from the sceptical tradition in philosophy and its persistent interest in the various ways in which reasoning processes are non-cognitively embedded in human nature and society and influence the direction these processes take.


2021 ◽  
Vol 113 (2) ◽  
pp. 263-277
Author(s):  
Henning Tegtmeyer

Abstract Habermas on genealogy, metaphysics and religion Habermas’s impressive history of philosophy presents itself both as a comprehensive account of the history of Western philosophy from its beginning to the 19th century and as a genealogy of post-metaphysical thinking. In this paper I argue that this twofold goal creates a serious methodological problem. I also find Habermas’s understanding of metaphysics unclear and partly misguided. If that is correct it has consequences not only for the very notion of post-metaphysical thinking but also for the understanding of the dialogue between philosophy, religion, and modern secular society that Habermas advocates.


Author(s):  
Shaoyu Zhang

The history of Western philosophy usually divides the ancient Greek philosophy into three parts, namely, natural science, ethics, and logic. The author deems that the ancient Greek philosophy should be divided into two categories: speculative philosophy and practical philosophy, for which writings of Plato and Aristotle provide sufficient grounds.


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