FOM meaning in Maths ?

Answer:

What is Foundations of Mathematics mean?

Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. In this latter sense, the distinction between foundations of mathematics and philosophy of mathematics turns out to be quite vague.Foundations of mathematics can be conceived as the study of the basic mathematical concepts (set, function, geometrical figure, number, etc.) and how they form hierarchies of more complex structures and concepts, especially the fundamentally important structures that form the language of mathematics (formulas, theories and their models giving a meaning to formulas, definitions, proofs, algorithms, etc.) also called metamathematical concepts, with an eye to the philosophical aspects and the unity of mathematics. The search for foundations of mathematics is a central question of the philosophy of mathematics; the abstract nature of mathematical objects presents special philosophical challenges.

The foundations of mathematics as a whole does not aim to contain the foundations of every mathematical topic.Generally, the foundations of a field of study refers to a more-or-less systematic analysis of its most basic or fundamental concepts, its conceptual unity and its natural ordering or hierarchy of concepts, which may help to connect it with the rest of human knowledge. The development, emergence, and clarification of the foundations can come late in the history of a field, and might not be viewed by everyone as its most interesting part.

Mathematics always played a special role in scientific thought, serving since ancient times as a model of truth and rigor for rational inquiry, and giving tools or even a foundation for other sciences (especially physics). Mathematics' many developments towards higher abstractions in the 19th century brought new challenges and paradoxes, urging for a deeper and more systematic examination of the nature and criteria of mathematical truth, as well as a unification of the diverse branches of mathematics into a coherent whole.

The systematic search for the foundations of mathematics started at the end of the 19th century and formed a new mathematical discipline called mathematical logic, which later had strong links to theoretical computer science.It went through a series of crises with paradoxical results, until the discoveries stabilized during the 20th century as a large and coherent body of mathematical knowledge with several aspects or components (set theory, model theory, proof theory, etc.), whose detailed properties and possible variants are still an active research field.Its high level of technical sophistication inspired many philosophers to conjecture that it can serve as a model or pattern for the foundations of other sciences.

reference

Full Form	Category
First of Month	Accounts and Finance
Foumban	Airport Code
Finance Organizations and Markets	Business
Future of Obsolescence Management	Business
Faculty of Management	Business Management
Formula One Management	Business Management
Freedom Of Music	Community
Festival Of Mud	Community
Followers Of Mary	Community
Freedom of the Media	Community
Friends of the Museums	Community
Figure of Merit	Computer and Networking
Federation Object Model	Computing
Fill and Outline Manager	Computing
Fiber Optic Multiplexer	Computing
Fiber Optic Meter	Computing
Filter Oscillator Mixer	Electronics
Full Order Model	General
Force Of Magic	General
Flick Of The Moment	General
Friend Of Mog	General
Friends Of The Monorail	General
Functional Object Modeling	General
Fujie Ohatas Memo	General
Flight Operations Manual	General
Freight Order Management	General
Field Operations Manual	General
Facilities Online Manager	General
Folding Outside Mirrors	General
Ford Of Mexico	General
Fix Operating Mode	General
Festival Of Motoring	General
Fraternal Order of Moai	General
Fonds Opkomende Markten	General
Frag o Matic	General
Freshness of the Morning	General
Fresh Outta Money	General
Friend of Moria	General
First Of Maxima	General
Focus On Microscopy	General
Facility Online Manager	General
For Or Mean	General
Function of Merit	General
Forward Operating Mission	General
Find out more	General
Functional Organic Materials	General
Friends Of Mitchell	General
Facilitate Other Maintenance	General
Freedom Of Mind	Governmental
Front Office Manager	Jobs
Foundations of Mathematics	Maths
Full Orthogonal Methods	Maths
Full Orthogonal Method	Maths
Faculty of Occupational Medicine (of the Royal College of Physicians)	Medical
Field Of Measurement	Medical
Floor Of Mouth	Medical
Faculty of Occupational Medicine	Medical
Freedom of motion	Medical
Freedom of Maneuver	Military and Defence
Federation Objective Model	Military and Defence
Fiber Optic Modem	Networking
Foumban, Republic of Cameroon	Regional
Fishers Of Men	Sports
Finnish Options Market	Stock Exchange