## What are the precaution take while formulate the axiom

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What are the precaution take while formulate the axiom

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2 weeks 2021-09-09T04:25:37+00:00 2 Answers 0 views 0

1. An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Greek axíōma (ἀξίωμα) ‘that which is thought worthy or fit’ or ‘that which commends itself as evident.'[1][2]

The term has subtle differences in definition when used in the context of different fields of study. As defined in classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question.[3] As used in modern logic, an axiom is a premise or starting point for reasoning.[4]

As used in mathematics, the term axiom is used in two related but distinguishable senses: “logical axioms” and “non-logical axioms”. Logical axioms are usually statements that are taken to be true within the system of logic they define and are often shown in symbolic form (e.g., (A and B) implies A), while non-logical axioms (e.g., a + b = b + a) are actually substantive assertions about the elements of the domain of a specific mathematical theory (such as arithmetic).

When used in the latter sense, “axiom”, “postulate”, and “assumption” may be used interchangeably. In most cases, a non-logical axiom is simply a formal logical expression used in deduction to build a mathematical theory, and might or might not be self-evident in nature (e.g., parallel postulate in Euclidean geometry).[5] To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms), and there may be multiple ways to axiomatize a given mathematical domain.

Any axiom is a statement that serves as a starting point from which other statements are logically derived. Whether it is meaningful (and, if so, what it means) for an axiom to be “true” is a subject of debate in the philosophy of mathematics.[6]

G-45,

Krishna Colony,

Anand Vihar,

Mathura

To

The Health Officer,

Nagpur

6th November, 2013

Subject : complaining about the improper drainage system

Sir,

I wish to draw your attention towards the pathetic condition of the drainage system in our district Nagpur. The drains are always overflowing and there is a foul smell in the locality.

Mosquitoes, and insects breed in this area, which is unhygienic and making life difficult for us.

During the monsoon season the situation gets bad to worse. Even a small downpour leads to clogging of drains and as a result all the streets are waterlogged. During Rainy seasons the garbage which piles in the corners of the road gets carried away with the water and is spread all across the roads.

This condition has also made life miserable for all those who stay on the ground floor as the rain water seeps into the houses. Most of the houses in our district are single stored, so most of us face this problem.

This water logging attracts mosquitoes and various other insects, due to which people are suffering from dengue, malaria and other diseases.

We have approached the local representatives. They have come over here to check the problem but they never return with any solution.

I have come know that in our neighboring districts they are not facing any kind of this problem as the entire sewage and drainage system has been changed. So, I would like to inform that the drainage system in our district is old and cracked which we people are fed up of. Kindly make it replaced with the new one.

I humbly request you to look into this matter and to bring a solution to our problems.

Thanking you,

Yours sincerely,