[E–pub] Our Mathematical Universe: My Quest for the Ultimate Nature of Reality
L reality to ourselves not a eature of nature to be discoveredIn author s defense this book is not intended purely as a history of mathematics but I think Russell s paradox shockingly not mentioned in this book demonstrates that mathematics is a human invention Russell s paradox shows that mathematics is not rooted in logic as both Russell and Frege had originally set out to demonstrate It is not objective Mathematics is not the product of logic and objectivity separate or apart rom the sensible subjective world Mathematics and logic is as Kant described it after all its origins lie not in objective knowledge but in our own a priori subjective intuitions about space and but in our own a priori subjective intuitions about space and Mathematics is not The Book of Air fundamentally an objective science the product our discoveries about reality Instead at itsoundations it is a synthetic enterprise and its indings are based on our ability to use our imagination and harness our intuition Mathematics is not a body of immutable absolute truth as Pythagoras and later Plato tells us and with which the author agrees Rather it is a collection of useful problem solving techniues constructed upon and built up rom the most banal tautologiesThe act that we constantly all into paradoxes combined with our ability to construct logical contradictions and traps demonstrates that the basis of logic itself is The Seduction of Miranda Prosper flawed or containsundamental contradictions eg again Russell s paradox which is the result of a logical contradiction in the use of classifications to explain numbers and reality number is a mathematical notion and class is a logical notion The relationship between the internal reality the human mind and external physical reality is a cacophony of concatenated asymmetrical subjective approximations that we invent and impose Mathematics is the human way of imposing organization and determination onto an underlying reality of randomness and indeterminacy To know mathematics to know something about math not an objective truth about reality Tegmark recognizes the subjectivism in a The Warrior Princess of Pennyroyal Academy field such as economics but not in mathematics the only difference is the degree of subjectivity Mathematics is not a body of metaphysical truths out there to beound This is to succumb to a seductive ontological temptation There is nothing there to be ound that we did not put there ourselves The author tells us that mathematical euations offer us a window into the working of nature Maybe he is correct or reasons he does not realize nature as we describe it with our mathematics is our subjective imposition so of course nature is ull paradox and contraction because we put them there Nature does not create paradoxes and contractions humans do this We then make the mistake of looking back on our subjective impositions upon the physical world and please ourselves by calling them objectiveMathematics is an abstraction of the human mind it does not have a separate existence to be discovered There is no unified origin of everything call it truth math science or God The meaning is not in the mathematics we do the mathematics and create the meaning Mathematics is a discursive exercise Instead the author treats us to a curious mathematical antasy whereby the path to ultimate knowledge is opened I am suggesting that reality cannot simply be euated to mathematics or language The social and cultural unities of mathematics and linguistics are well known but their referents are Elizabeth I fromixed I argue that they have no definitive referents no reality beyond which these discourses are constituted This does not mean that they have no existence or that they are only exist discursively but that there is no ultimate extra discursive reality that these discourses simply reflect Rather what we know as mathematics or language is constituted through discursive relations within which our thoughts and theories about any possible extra discursive aspects of reality are expressed But these thoughts and theories are always subject to interpretation and a range meanings or as a corollary to a range of different meanings I uestion the assumption and the possibility of knowing ultimate reality by any means and prefer to reflect upon the possibilities of reality explained in several different waysAll knowledge cannot ultimately be sueezed into a orm of pure mathematics Knowledge cannot be narrowly reduced to necessary truths. Echnical papers twelve of which have been cited than 500 times He has eatured in dozens of science documentaries and his work with the SDSS collaboration on galaxy clustering shared the Theres Always a Trail / Home in the Valley first prize in Science magazines Breakthrough of the Year 2003 He holds a PhDrom the University of California Berkeley and is a physics professor at MI.
Max Tegmark Ù 2 Free readUestion in that what we ace is reality at our level of existence This is by definition the truth of reality When people speak of the CORRESPONDENCE THEORY OF TRUTH I MUST theory of truth I must correspondence to what Something non human A universal moral law God mathematical structure etc We already have scientific and other types of tests or adopting beliefs that work in our environmentThe author holds an unredeemed Platonic conception of mathematics And I Will State At The Outset Of This Review I will state at the outset of this review I have a Kantian conception of mathematics For Max Tegmark the physical world is not only described mathematically but that it is mathematics This is to claim too much I will concede that mathematics occupies a privileged intermediate space between physical science and metaphysical speculation but I cannot conceded that existence is mathematical To do so actually reaches back to the Pythagorean perspective of reality upon which Plato built The mathematical structure that Tegmark sees as the instantiation of the physical world is one that has been ound to be riddled with paradoxes and proven to be incomplete I do not think that mathematics can be regarded as an a explanation in itself of anything Physical theories are not what they are because of mathematics Mathematics are the language in which we state our theories about the physical universe That is nothing is the way it is because of a mathematical principle However even if reality can be described mathematically it does not ollow that the inal or ultimate ontology of realty is mathematical If the ultimate nature of reality is mathematical it ollows that mathematics is the cause of ultimate reality This is I am sorry prima acie absurd For example we can describe everything we take to be reality with words but it does not ollow that the inal or ultimate ontology of realty is linguistic What is most interesting is that rom either or any philosophical perspective paradoxes and incompleteness notwithstanding the practical application mathematics proceeds and works as the author than adeuately demonstrates in this book Mathematics still provides the most precise manner in which to express our theories but it is also possible that we have a cognitive bias to seek theories to explain the universe that can be expressed mathematically My concern here is philosophical than practicalThinkers working in the philosophy of mathematics since the time of Plato are traditionally separated between those who say that mathematical statements are true about the physical world empiricists view those who eel that this does not do justice to the inexorability of mathematics and claim an eternal truth status or mathematics Platonic view and a third view offered by Kant which is that mathematical statements are true The Essential Library for New Moms 4-Book Bundle: Healthy Sleep Habits, Happy Child; The Baby Food Bible; Infant Massage; Colic Solved for theorm of our intuition that we bring them to the world to organize our experience of exigence to better navigate the world intuitionist view For Wittgenstein twentieth century the whole idea that mathematics is concerned with the discovery of truth is a mistake This mistake arose The Triangle of Truth: The Surprisingly Simple Secret to Resolving Conflicts Largeand Small from the treatment of pure mathematics as an area of study apartrom application to the physical sciences When mathematics is treated as a tool or a series of techniues or calculating measuring analyzing etc philosophical uestions about the nature mathematics simply do not arise The philosophical nature of mathematics is so mush resolved as it dissolved by WittgensteinFrom a purely utilitarian point of view what matters most is that mathematics works and produces results But since all mathematical models of the physical world break down at some point combined with many inconstancies paradoxes and unproven assumptions ound at the heart of mathematics I come down on the side of it being a human invention like chess but a great invention it is Mathematics is not the language in which the universe is written it is a selective tool which we use to explore the universe Both
and mathematics are highly useful systems but constitutive of their rules rules that are subjectively imposed by humans this rame of mind we can take the shackles off our thinking we need not wait around or a new discovery Instead we can be creative and NYCTaxiCabTales.com: Taxi Stories from streets of NYC free to invent better and new mathematics as needed What the author does not see is that mathematics is a human creation a tool that we use to explain physica. Groundbreaking science he not only helps us grasp his often mind boggling theories but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist Fascinatingrom The Wrong Side of the Bed first to last here is a bookor the ull science reading spectrumMax Tegmark is author or co author of than 200 ,chess and mathematics are highly useful systems but constitutive of their rules rules that are subjectively imposed by humans
Well thought out and very readable and believable as a scientist Lots of great ideas to think about many that I cannot disagree with However and it s only a personal eeling when we got to the 4 parallel universes i was not persuaded enough to want to read the detail to the end so speed read so I didn t miss anything However of all the books on the theory of everything that I have read this was the most compelling The کاروان امید: سرگذشت تری فاکس first part is an excellent summary of cosmology and uantum physics that s the most readable and informative I ve read to dateOr maybe that s an effect of having read too many books in the same genre Either way the author makes light work of issues other authors struggle with and each chapter concludes with a helpful brief outline to ease the process The second part of the book deals with esoteric subject matterswhich is challengingor the lay reader and reuires abstract imaginative processing to comprehend Overall I The Cat Who Sang for the Birds (Cat Who... found the book is readable and I rarely counted the pages or became over taxed intellectuallywhich to me is the sign of an excellent author Having recently read an introduction to the philosophy of Mathmatics I wanted toollow up by hearing about someone who tackles head on one of the ancient uestions why a Tempting Faith Di Napoli field of abstraction such as numbers works so incredibly well at explaining the real world Why have mathmatical patters developed by a single person with his pen later have independent applications in the real worldThis is perhaps best expressed in the title of one of Eugene Wigner s papers the unreasonable effectiveness of Mathmatics in the natural sciences Why do aew simple ormulas explain the undemental structures of the universeSince as The Southern Belles of Honeysuckle Way far back as Pythagoras one proposal is that Mathmatics in theundemental substance of the universe This is a bold and controversial thesis There are many that try to defend Mathmatical platonism that in some sense the realm of Mathmatics really exists However ew go as ar as Max Tegmark and postulate that the Universe simple is one elaborate mathmatical structure Whilst hard to accept I The Confident Woman: How to Take Charge and Recharge Your Life find this an interesting and exciting idea which is worth exploring It would certainly explain why our physical theories are soull of euations that are simple and work so wellThis subject alone could be elaborated across many books however this hardly scratches the surface of all the topics that the author takes on He throws out opinions on space time multiple universes consciousness the end of time the meaning of life the possibility of reality being a computer generation This is a whistle stop tour of all the mind bending physical and metaphysical subjects you can think ofOf course much of this is wild speculation however I love to hear about the crazy big ideas and he might just be right about one of two things Why should physicists stick to number crunching they re as informed
as anyone and entitled to take on the big philosophical uestions However it s up to the philosophersanyone and entitled to take on the big philosophical uestions However it s up to the philosophers check or inconsistentcies and perhaps breath a little restraint into the picture These uestions will live on as long as humans are alive and it s always exciting to hear another radical voice This is well worth reading The provocative subtitle contains the allacy This is the allacy of looking or an ultimate reality apart rom human experience Tegmark and authors like him are using mathematics as a substitute or the religious need to be in touch with ultimate reality or absolute truth We need to outgrow such childish needs Truth is what works to advance human knowledge understanding wellbeing and lourishing A pragmatic secular society is morally superior to works to advance human knowledge understanding wellbeing and lourishing A pragmatic secular society is morally superior to still tied to religious undamentalism or the search or ultimate reality and absolute truth These are not available to us Everything decision we make or action we undertake is absolute truth These are not available to us Everything decision we make or action we undertake is the ace on uncertainty and contingency accompanied by unintended conseuences How many ways and how many times do we have to ask ourselves if we are in touch with reality Reality is our environment and the problems and opportunities it presents to us The search The Bravest Cat! for ultimate reality is just a substituteor the search The Slammer: The Crisis In Canada's Prison System for God Both are a waste of time and effortIn terms of truth and the nature of reality we are just organisms trying to cope with our environment the idea of a truth corresponding with reality is a meaningless. Max Tegmark leads us on an astonishing journey through past present anduture and through the physics astronomy and mathematics that are the The Great Race foundation of his work most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse In a dazzling combination of both popular and.