#Simple math proof series
For example: What is the next number in the series 3 6 9 12? The answer is ’15’. In other words, a statement that you believe to be true but have not proved to be true is called a conjecture. ConjectureĪ conjecture is such a mathematical statement whose truth or falsity we don’t know yet. This is an Axiom because you do not need a proof to state its truth as it is evident in itself. In geometry, we have a similar statement that a line can extend to infinity. Examples of AxiomsĮxamples of axioms can be 2+2=4, 3 x 3=4 etc. In addition to this, there is no evidence opposing them. In simpler words, these are truths that form the basis for all other derivations and have been derived from the basis of everyday experiences. Therefore, they are statements that are standalone and indisputable in their origins. A mathematical statement which we assume to be true without a proof is called an axiom. The word ‘Axiom’ is derived from the Greek word ‘Axioma’ meaning ‘true without needing a proof’. All of these are an example of a mathematical statement! Browse more Topics under Introduction To Euclids Geometry Also, we assumed that every student will get exactly one ice-cream. In the above example, we counted the number of students and equated that number to the number of ice-creams. Three ice-creams is the correct answer but can you prove that it is the answer? If all 3 of them (including Rahul) want 1 ice cream each, how many ice-creams should Rahul buy? Silly, you may say, as obviously, Rahul needs to buy 3 ice creams for all 3 of them to have one ice-cream each.
Rahul, a student goes out to buy ice-cream for his friends one evening. Now the question is how do we know which statement is true and which is false? Let us look at an example. Therefore it is not a Mathematical Statement. As another example, a statement like “close the door” is also not a mathematical statement. The statement is an opinion and will have a different meaning for different people, so its meaning is ambiguous. For example, “Computers are good and easy”.
In other words, if a statement has the same meaning everywhere and can either be true or false, it is a Mathematical statement.Ī statement is a non-mathematical statement if it does not have a fixed meaning, or in other words, is an ambiguous statement. For example, The mass of Earth is greater than the Moon or the sun rises in the East.
In Mathematics, a statement is something that can either be true or false for everyone.
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