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Our conception of logical space is the set of distinctions we use to navigate the world. Agustín Rayo argues that this is shaped by acceptance or rejection of 'just is'-statements: e.g. 'to be composed of water just is to be composed of H2O'. He offers a novel conception of metaphysical possibility, and a new trivialist philosophy of mathematics.
An introduction to Prolog programming for artificial intelligence covering both basic and advanced AI material. A unique advantage to this work is the combination of AI, Prolog and Logic. Each technique is accompanied by a program implementing it. Seeks to simplify the basic concepts of logic programming. Contains exercises and authentic examples to help facilitate the understanding of difficult concepts.
The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Godel, Church, Kleene, Rosse
This is the ultimate and fun challenge to test your brain. It engages all of your mental skills - imaginative, mathematical, linguistic, lateral thinking and much, much more.
This book traces the development of formal logic from its origins in ancient Greece to the present day. The authors first discuss the work of logicians from Aristotle to Frege, showing how they were influenced by the philosophical or mathematical ideas of their time. They then examine developments in the present century.
After a series of incredible, extraordinary events that dramatically changes his life, the author is compelled to look at his past, present, and future, with an entirely new light. A journey into the real story of his life that he was so blind to see, all the doors he was afraid to open, and all the questions he was afraid to ask. A story of love and an insurmountable joy of hope.
When we're in the Certainty Trap, we tend to view people who disagree with us as hateful, ignorant, or just plain stupid. When it comes to heated social and political issues in particular, many of us know this feeling well— a consuming state of righteous indignation and moral outrage. And this response makes sense because our very certainty tells us that there are simple and obvious causes and solutions to the hot-button issues we care about most. But the things we care about the most are— far more often than not— morally and ethically complex. If the problems that divide us are inherently complicated, then a sense that the answers are obvious— and that anyone who disagrees must be deficient in some way— is misplaced. It's an oversimplification that both leads to and reflects faulty thinking. When we're certain, we not only fail to recognize the possibility that we're wrong but also fail to be clear about the principles and values that drive our disagreement in the first place. By committing to challenging and clarifying our thinking— by avoiding the trap certainty sets for us— we can increase social trust, reduce political polarization, and better address the world's pressing challenges.