By W.S. Anglin

ISBN-10: 0387942807

ISBN-13: 9780387942803

This publication is completely valueless in each achievable approach. it's a secret to me why Springer have introduced shame upon themselves through publishing this inept drivel. an entire account of Anglin's incompetence will require a overview as thick because the ebook itself, yet expectantly a number of deterring examples will suffice.

First, there are numerous blatant authentic error, e.g.:

"There have been 5 planets (or so Kepler inspiration) and 5 commonplace polyhedra. this couldn't be an accident!" (p. 158)

Since Kepler's paintings on Mars, Jupiter and Saturn are pointed out at the comparable web page, one wonders if it is Mercury, Venus or the Earth that Anglin imagines Kepler to were ignorant of.

Other statements can't also be known as fake in view that they're such ludicrous nonsense, e.g.:

"Just as many of us prior to Lobachevsky notion that Euclid's parallel postulate was once one of those sacred fact, such a lot of humans sooner than Hamilton proposal that the legislation of commutativity for multiplication was once ineluctable. For us it's a common that this legislations don't need to carry, in view that we now have a prepared instance of noncommutativity in matrix multiplication." (p. 195)

The inspiration that there's a few kind of "law" in the market approximately commutativity of multiplication which can or would possibly not carry is a truly infantile false impression. even if we name convinced operations with matrices and quaternions "multiplication" or now not is solely a question of conference. therefore the alleged "law" that "many humans" allegedly held for "ineluctable" has no which means whatever except as a completely inconsequential declare approximately naming conventions. Anglin's stupidity is very nerve-racking in mild of his conceited description of his personal e-book as providing "a deep penetration into the major mathematical and philosophical points of the heritage of mathematics", "giving the coed a chance to return to an entire and constant wisdom" (p. viii).

Let us provide one other instance of what Anglin considers to be "a deep penetration" into philosophical matters. We learn that "there are quite a few objections to formalism," e.g. that "formalism deals no make sure that the video games of arithmetic are consistent." Now, most likely so one can "give the coed a chance to return to a whole and constant knowledge," Anglin professes to supply the opposite facet of the coin: "the formalist can answer [that] even if a number of the video games of arithmetic are certainly inconsistent, and for this reason trivial, others are usually not" (pp. 218-219). it isn't transparent in what feel Anglin fancies the statement that arithmetic is constant to be a "reply" the the problem to turn out as much.

Finally, the publication is filled with unsubstantiated revisionist heritage influenced via unabashed Christian propaganda ("God" is the access within the index with the main references by means of a long way; extra, in reality, than Euclid, Archimedes, Newton and Riemann combined), e.g.:

"Most of the mathematicians on the Academy and the Museum rejected the hot truths [sic] of Christ's revelation. this is often unlucky simply because ... if the mathematicians had joined the Christians, the darkish a long time may were brightened by means of a discussion among cause and religion. because it used to be, this discussion was once postponed to the later heart a while, while thinkers like Thomas Aquinas (1225-1275) complex philosophies that have been inspired as a lot by way of the weather as via the Bible." (p. 111)

What a loss for arithmetic that we needed to wait such a lot of centuries for the good geometer Aquinas!

Show description

Read or Download Mathematics: A Concise History and Philosophy PDF

Best technology books

Download PDF by John Graham-Cumming: The Geek Atlas: 128 Places Where Science and Technology Come

The background of technological know-how is throughout us, for those who comprehend the place to appear. With this detailed traveler's consultant, you'll know about 128 locations all over the world the place discoveries in technological know-how, arithmetic, or know-how happened or is going on now. commute to Munich to determine the world's greatest technological know-how museum, watch Foucault's pendulum swinging in Paris, give some thought to a descendant of Newton's apple tree at Trinity university, Cambridge, and extra.

Jerry Kaplan's Startup PDF

Jerry Kaplan had a dream: he could redefine the identified universe (and get very wealthy) via making a new form of desktop. All he wanted used to be sixty million money, a couple of hundred staff, a maniacal trust in his skill to win the Silicon Valley startup online game. Kaplan, a widely known determine within the computing device undefined, based cross company in 1987, and for a number of years it was once one of many most popular new ventures within the Valley.

Susheel Kalia, Luc Averous's Biodegradable and Biobased Polymers for Environmental and PDF

This quantity comprises thirteen contributions from well known specialists from the proper examine fields which are comparable biodegradable and biobased polymers and their environmental and biomedical applications.

Specifically, the ebook highlights: advancements in polyhydroxyalkanoates purposes in agriculture, biodegradable packaging fabric and biomedical box like drug supply structures, implants, tissue engineering and scaffolds The synthesis and elaboration of cellulose microfibrils from sisal fibres for top functionality engineering purposes in a variety of sectors reminiscent of the car and aerospace industries, or for development and building the various periods and chemical transformations of tannins Electro-activity and functions of Jatropha latex and seed The synthesis, homes and functions of poly(lactic acid) The synthesis, processing and homes of poly(butylene succinate), its copolymers, composites and nanocomposites different routes for practise polymers from vegetable oil and the results of reinforcement and nano-reinforcement at the actual houses of such biobased polymers the differing kinds of transformed drug supply platforms including the idea that of the drug supply matrix for managed unlock of gear and for antitumor medicines using nanocellulose as sustainable adsorbents for the removing of water pollution regularly heavy steel ions, natural molecules, dyes, oil and CO2 the most extraction options, constitution, homes and varied chemical adjustments of lignins Proteins and nucleic acids established biopolymers The function of tamarind seed polysaccharide-based multiple-unit platforms in sustained drug free up

Form der wissenschaftlichen Ausarbeitung: Studienarbeit, by Tilo Gockel PDF

Praxisorientiert und ohne erhobenen Zeigefinger behandelt der Leitfaden alle wichtigen Themen rund um die wissenschaftliche Ausarbeitung: von der Recherche über die Verwaltung der Quellen, Rechtschreibung, Stil und Gliederung bis hin zur korrekten Zitierweise, Fragen des Urheberrechts, Formeln und Grafiken sowie dem Umgang mit Verlag und Druckerei.

Extra info for Mathematics: A Concise History and Philosophy

Example text

Intellectual property loss in just the United States is estimated to be $200–250 billion. Human traffickers get $10 billion per year. It is time for an international campaign by all sectors of society to develop a global consensus for action against TOC, which has grown to the point where it is increasingly interfering with the ability of governments to act. Nation-states can be understood as a series of decision points that are vulnerable to TOC’s vast amounts of money. Its power in one country can be leveraged to increase power in others.

The growth of democracy, international trade, global news media, the Internet, satellite surveillance, world travel, and the evolution of the UN and better living standards are all making more people believe that a more peaceful evolution of humanity is possible. Once slavery was widely accepted as a “natural” institution; now it is totally unacceptable because humans changed their minds and institutions. If so for slavery, why not for terrorism and war? Challenge 10 will be addressed seriously when arm sales and violent crimes decrease by 50%.

2006 STATE OF THE FUTURE UN early warning systems could be strengthened by involving NGOs and the media to generate the political will to act before massive disasters; advanced communications could be parachuted to local citizens so that local realities could be broadcast to the world. Sanctions should target elite criminals rather than innocent populations. News media and Web sites should show positive mediation as well as scenes of violence. Governments should destroy existing stockpiles of biological weapons, create tracking systems for potential bioweapons assets, create an international audit system for each weapon, and increase the use of nonlethal weapons to reduce future revenge cycles.

Download PDF sample

Mathematics: A Concise History and Philosophy by W.S. Anglin


by Jeff
4.3

Rated 4.20 of 5 – based on 8 votes