Essays Tagged: "axioms"

"We can usually learn much more from people whose views we share than from people whose views contradict our own; disagreement can cause stress and inhibit learning."

iginality of thought. For instance, ancient science believed that the Universe was based on certain axioms - the Earth is the center of the Universe and the planets move around it in circles. Copernic ... the planets move around it in circles. Copernicus first suggested that one of the most fundamental axioms of the last 3500 years was mistaken: the Sun, not the Earth, was the center of the Universe. ...

(2 pages) 50 0 2.8 Oct/2002

Subjects: Social Science Essays > Society and community

The role of religion as a positive or negative or neutral or irrelevant force, in efforts to further national political objectives where human dignity, equality, justice and peace prevail.

was the one of many great events. There were discoveries that defied ideas that were thought to be axioms and there were amazing inventions that radically changed the lifestyle of next generations to ...

(8 pages) 176 0 3.4 Mar/2003

Subjects: Humanities Essays > Religion & Faith

Euclidean Geometry.

aticians came up with a group of proofs and ideas based on unproven assumptions which are known as "axioms." The most known and hardest working mathematicians were probably Thales, Pythagoras, and the ... ation into a book called "The Elements". In "The Elements" Euclid stated that there were five basic axioms and from these there could form 465 different theorems. This book was a fundamental book in g ...

(4 pages) 64 0 3.0 Jun/2003

Subjects: Science Essays > Mathematics

Meta-Mathematics: An exploration of Godels Incompleteness Theorems

but this proved logically incomplete, "for even if all the observed facts are in agreement with the axioms, the possibility is open that a hitherto unobserved fact may contradict them and so destroy t ... ity"(20). This gave rise to the claim that "inductive considerations can show no more than that the axioms are plausible or probably true"(20), which necessitated another approach.Hilbert proposed a m ...

(2 pages) 19 0 0.0 Mar/2004

Subjects: Humanities Essays > Philosophy

Equality

nd on the subject can be either simple or short.On this issue the Society of HumanKind rests on the Axioms and Dogma. The First Axiom says that chance accounts for the origin of our species. The Treat ... independent standard or measure of the relative worth of individuals. However, the Second and Third Axioms and the Principle of Peace derived from them give us the prospect of being able to make just ...

(7 pages) 58 0 5.0 May/2004

Subjects: Humanities Essays > Philosophy

MATHEMATICS -ARA

f using symbols to provide an exact theory of logical deduction and inference based on definitions, axioms, postulates, and rules for combining and transforming primitive elements into more complex re ... on measurement and calculation in geometry and with no trace of later mathematical concepts such as axioms or proofs.The earliest Egyptian texts, composed about 1800 BC, reveal a decimal numeration sy ...

(19 pages) 198 0 2.8 Jul/2005

Subjects: Science Essays > Mathematics

TOK essay: Do questions like "why should I be moral?" or "why shouldn't I be selfish?" have definitive answers, as do some questions in other Areas of Knowledge?

l questions like "why shouldn't I be selfish?" They depend on the ways which people look at it, the axioms they set before coming up with the questions. However, having a definitive answer to these qu ... r things are held equal, or constant, except those under study" . In this way, mankind came up with axioms which are certain assumptions and definitions we take without questions . We are told and tau ...

(5 pages) 104 3 3.7 Oct/2005

Subjects: Humanities Essays > Philosophy > Comparative Philosophy & Ethics

To what extent is faith a legitimate basis for knowledge claims, in religion and different areas of knowledge?

undation the beautiful and complex structure of knowledge. Without these fundamental assumptions or axioms which cannot be justified nor refuted by reason, the structure of knowledge would collapse an ... e is equally based on faith. All beliefs in different systems of knowledge have certain fundamental axioms which are not subject to justification by reason and can be said to have been established by ...

(6 pages) 64 0 3.0 Oct/2005

Subjects: Humanities Essays > Philosophy

Are ethical statements (axioms) different from the statements of science?

"Ethical axioms are found and tested not very differently from the axioms of science. Truth is what stands th ... e."- Albert EinsteinFirst of all, we have to understand what exactly the term 'axiom' or saying is. Axioms are "self evident truths" or "universally accepted principles or rules." The first definition ... versally accepted principles or rules." The first definition can be applied more closely to ethical axioms while the latter more closely to the scientific ones.In this sense, an ethical axiom can be " ...

(5 pages) 28 0 5.0 May/2006

Subjects: Humanities Essays > Philosophy

"Ethical axioms are found and tested not very differently from the axioms of science. Truth is what stands the test of time." Critically evaluate this claim.

This claim made by Albert Einstein suggests that ethical and scientific axioms are tested in a similar manner, and that "truth is what the stands the test of time." The ter ... without proof as the basis for argument; a postulate (The American Heritage Dictionaries). Ethical axioms in essence are those principles that are accepted by society and are often used to govern the ... is self-evident fundamental principle that may be used to assist moral decision making. Scientific axioms are those laws or theories which are universally accepted by scientists, such as Kohlrausch's ...

(7 pages) 23 0 3.0 Oct/2006

Subjects: Social Science Essays > Anthropology

Euclidian

t the invitation of the Egyptian ruler Ptolemy I. Euclid began accepting mathematical truths called axioms and postulates. From them he logically demonstrated 467 propositions of plane and solid geome ... ey include works on conic sections, perspective, and pitfalls pit falls in geometry. Many important axioms or postulates and theorems in geometry deal with facts about congruent figures. Postulates ar ...

(1 pages) 819 0 0.0 Nov/2001

Subjects: Science Essays > Mathematics

Asynchronous Transfer Mode Net

and turn-based transfers; however, in the 1980s an experimental system called ATM challenged these axioms. The ATM consisted of a new topology - Asynchronism.ATM is one of many networking types, such ...

(3 pages) 9 0 0.0 Feb/2008

Subjects: Science Essays > Computer Science

Asynchronous transfer mode networking (atm)

and turn-based transfers; however, in the 1980s an experimental system called ATM challenged these axioms. The ATM consisted of a new topology - Asynchronism.ATM is one of many networking types, such ...

(3 pages) 13 0 0.0 Feb/2008

Subjects: Science Essays > Computer Science

Lesson From Hizb Al-Tahrir

example we have logical thought (of which empirical thought is one type) so we can deduce laws and axioms by observing things. For example by heating a 100 objects we can deduce that when you heat ob ...

(10 pages) 743 0 0.0 Feb/2008

Subjects: Humanities Essays > Religion & Faith

Which Area Of Knowledge Do You Find More Compellin

ield of knowledge where we are encouraged to feel certain about what we learn. I accept that if the axioms are correct then any solution derived from them must also be correct. I am not very good at m ...

(5 pages) 16 0 0.0 Feb/2008

Subjects: Humanities Essays > Philosophy

Group Theory and the Rubik's Cube

oup is a set of objects, called elements, that, when paired with an operation •, satisfy three axioms: closure (for all elements a and b in the set, a•b is also in the set), associativity (f ... ce of inverses (for all elements a, there exists an element a-1 such that a•a-1=e). From these axioms, a few simple consequences arise, and group theory is the study of these consequences [5].Her ...

(3 pages) 957 0 0.0 Dec/2008

Subjects: Science Essays > Mathematics