STD 10 CHAPTER 13 PRUSTHFAL. ANE GHANFAL VIDEO LESSION
ALL VIDEO FOR SSC STUDENT
SSC MATHS VIDEO FOR STUDENT
SSC GANIT NA VIDEO STUDENT MATE
DHORAN 10 NA VIDYARTHIO MATE KHUB J UPYOGI VIDEO
GHER BETHA SSC NA GANIT NA VIDEO JUO
VIDEO CHHANEL NAME : maths by vataliya sir
VIDEO BANAVNAR NU NAME ; Ashvin sir vataliya
EKAM 13 PRUSHTFAL. ANE GHANFALVISHE VIDEO
Axioms in traditional thought were "self-evident truths", but that conception is problematic. At a formal level, an axiom is just a string of symbols, which has an intrinsic meaning only in the context of all derivable formulas of an axiomatic system. It was the goal of Hilbert's program to put all of mathematics on a firm axiomatic basis, but according to Gödel's incompleteness theorem every (sufficiently powerful) axiomatic system has undecidable formulas; and so a final axiomatization of mathematics is impossible. Nonetheless mathematics is often imagined to be (as far as its formal content) nothing but set theory in some axiomatization, in the sense that every mathematical statement or proof could be cast into formulas within set theory.
Mathematics can, broadly speaking, be subdivided into the study of quantity, structure, space, and change (i.e. arithmetic, algebra, geometry, and analysis). In addition to these main concerns, there are also subdivisions dedicated to exploring links from the heart of mathematics to other fields: to logic, to set theory (foundations), to the empirical mathematics of the various sciences (applied mathematics), and more recently to the rigorous study of uncertainty. While some areas might seem unrelated, the Langlands program has found connections between areas previously thought unconnected, such as Galois groups, Riemann surfaces and number theory.
Discrete mathematics conventionally groups together the fields of mathematics which study mathematical structures that are fundamentally discrete rather than continuous.
Foundations and philosophy
In order to clarify the foundations of mathematics, the fields of mathematical logic and set theory were developed. Mathematical logic includes the mathematical study of logic and the applications of formal logic to other areas of mathematics; set theory is the branch of mathematics that studies sets or collections of objects. The phrase "crisis of foundations" describes the search for a rigorous foundation for mathematics that took place from approximately 1900 to 1930. Some disagreement about the foundations of mathematics continues to the present day. The crisis of foundations was stimulated by a number of controversies at the time, including the controversy over Cantor's set theory and the Brouwer–Hilbert controversy.
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STD 10 CHAPTER 13 PRUSTHFAL. ANE GHANFAL VIDEO LESSION
ALL VIDEO FOR SSC STUDENT
SSC MATHS VIDEO FOR STUDENT
SSC GANIT NA VIDEO STUDENT MATE
DHORAN 10 NA VIDYARTHIO MATE KHUB J UPYOGI VIDEO
GHER BETHA SSC NA GANIT NA VIDEO JUO
VIDEO CHHANEL NAME : maths by vataliya sir
VIDEO BANAVNAR NU NAME ; Ashvin sir vatalitya