# mathematics

Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.

Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements?. Mathematics continued to develop, for example in China in 300 BC, in India in AD 100, and in the Muslim world in AD 800, until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that continues to the present day. (wikipedia)

"Plato? required those applying to his school to take a course in mathematics first. Since the strict laws of mathematics are not subject to the ordinary course of sensory phenomena, they make a very good preparation for seekers of knowledge, who must put aside personal arbitrariness and distractions if they wish to make progress in mathematics. Voluntarily overcoming all uncontrolled and arbitrary thinking prepares them for the task ahead. They learn to respond to only the requirements of thinking itself, since that is how they must proceed in all thought activity that serves spiritual knowledge. Their thinking must replicate the undisturbed results and conclusions of mathematics. Wherever they go, wherever they may be, they must always attempt to think in this way. Then the laws of the spiritual world, laws that pass through without a trace when thinking is of the everyday confused variety, can flow into them. Well-ordered thinking leads them from secure starting points to the most hidden truths. (These suggestions should not be taken one-sidedly, however – although mathematics is good practice and discipline for our thinking, it is certainly possible to learn pure, healthy and vital thinking without it.)" [Rudolf Steiner, Theosophy, 10th edition 1922, translated 1994, Anthroposophic Press?, pp. 187-188]

Vedic Mathematics a surprisingly simple math system.

12.21 - Fibonacci Whole Numbers v Irrational Decimal near Equivalents
Arithmetic
Chord
Delta
Division
Geometry
Indig Numbers
Interval
law of multiple proportions
law of constant composition
Law of Definite Proportions
Multiplication
Music
Number
Proportion
Propositions of Geometry
Quantum Arithmetic
Ratio
Stoichiometry
Subtraction
Sympsionics