The idea of infinity stands at the intersection of mathematics and philosophy. As da Vinci said, "Arithmetic is a computational science in its calculations, but it is of no avail in dealing with continuous quantity."The End of Infinity reviews the philosophical history of infinity, mathematics, numbers, and logic to demonstrate that the modern conception of infinity involves a logical and metaphysical contradiction that argues for a return to Aristotle's conception of potential in...

'The Political Spectrum' sets out to identify the timeless, universal principles of political philosophy that shape how we live as a society, from democracy in Ancient Greece and the aristocracies of the Enlightenment to the tribal lands of Pakistan and the modern state that is the United States of America. Unlike most political philosophies that rest on traditional foundations such as rights, private property, or human nature, The Political Spectrum focuses on the fundamental ideas dividi...

While we might all love for everyone to get along, to help the needy, and for the wars to end, we need to explain how people can reach this point in their biological growth and development by promoting social progress.Liberals believe social conservatives are oppressive white men who worship outdated ideas, and social conservatives believe liberals live in a world where nothing is sacred—life, religion, the nation... We can move ahead if we learn from each other and make decisions ...

One of the most perplexing and fascinating concepts in both mathematics and philosophy is infinity. Anthony C. Patton explains why this stands as a pivotal idea, introducing the reader to perspectives that challenge conventional wisdom and encourage profound reflection on the nature of existence, reality, and intellectual thought.Infinity in Mathematics and Philosophy: Infinity has perplexed some of the greatest minds in history, from ancient philo...

Political Philosophy: The Narrow Path of Social Progress by Anthony C. Patton explores the fundamental values that shape the development of civilization. He starts with the core principles of liberty, group loyalty, individual achievement, and the role of family and private property in fostering societal progress. Drawing on historical context, the author seeks to clarify what we mean by "social progress" and how we can navigate toward a just and prosperous society.

'The Political Spectrum' sets out to identify the timeless, universal principles of political philosophy that shape how we live as a society, from democracy in Ancient Greece and the aristocracies of the Enlightenment to the tribal lands of Pakistan and the modern state that is the United States of America. Unlike most political philosophies that rest on traditional foundations such as rights, private property, or human nature, The Political Spectrum focuses on the fundamental ideas dividi...

A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevan...

"Tractatus Logico-Philosophicus may be the most important book of philosophy written during the twentieth century. Wittgenstein's writing style is clear, succinct, and accessible. Bertrand Russell claimed that "I cannot see any point on which it is wrong. But to have constructed a theory of logic which is not at any point obviously wrong is to have achieved a work of extraordinary difficulty and importance." Required ready for anyone interested in philosophy." Wilder Publications is a gree...

This amazingly condensed guide covers integral & differential calculus. The guide includes: definitions & interpretations, integration formulas & techniques, improper integrals, geometry & physics, differential equations, Taylor's formula, numerical integration, sequences & series of real numbers, and convergence tests and power series.

Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside The Open Society and Its Enemies as one of Popper's most enduring books and contains insights and arguments that demand t...

Another classic converted by eBooksLib.com. 1.1 The world is the totality of facts, not of things.

This satire from the 1960s makes a convincing claim to be a government document on the destructive effects of the post-Cold War peace on American society and economy and illustrates the fears of a society struggling with its own identity and purpose.