Do You Wanna Know?

# Curves of infinite length may enclose finite areas.
# Falsity implies anything.
# There is order in chaos.
# To get cafe au lait one should carry coffee to milk and not milk to coffee.
# Sets may be thick, thin and normal.
# In some circumstances index equals the content.
# In other circumstances, an index may have a content of its own.
# There are things distant yet near. There are others that are near yet distant.
# There are three plane regions that share exactly the same boundary.
# A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful.
# A continuous function may grow considerably virtually without changing.
# You can’t add apples and oranges but you can add their shapes.
# There are many things that can be added: numbers, vectors, matrices, spaces, shapes, sets, functions, equations, strings, chains…
# Among any two integers or real numbers one is larger, another smaller. But you can’t compare two complex numbers.
# The only triangle with rational sides and angles is equilateral.
# 0!=1
# One is morally obligated to do everything impossible.
# The word ‘fraction’ derives from the Latin fractio – to break. However, there are continuous fractions.
# For every object there is a distance at which it looks its best.
# At any given time in New York there live at least two people with the same number of hairs.
# Sometimes in order to add one has to take the difference.
# Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher.

=3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 …
# A sphere has two sides. However, there are one-sided surfaces.
# There are shapes of constant width other than the circle. One can even drill square holes.
# There are just five regular polyhedra
# In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
# Everything you can do with a ruler and a compass you can do with the compass alone
# Among all shapes with the same perimeter a circle has the largest area.
# There are curves that fill a plane without holes
# Much as with people, there are irrational, perfect, complex numbers
# As in philosophy, there are transcendental numbers
# As in the art, there are imaginary and surreal numbers
# A straight line has dimension 1, a plane – 2. Fractals have mostly fractional dimension
# You are wrong if you think Mathematics is not fun
# Mathematics studies neighborhoods, groups and free groups, rings, ideals, holes, poles and removable poles, trees, growth …
# Mathematics also studies models, shapes, curves, cardinals, similarity, consistency, completeness, space …
# Among objects of mathematical study are heredity, continuity, jumps, infinity, infinitesimals, paradoxes…
# Last but not the least, Mathematics studies stability, projections and values, values are often absolute but may also be extreme, local or global.
# Trigonometry aside, Mathematics comprises fields like Game Theory, Braids Theory, Knot Theory and more
# One is morally obligated not to do anything impossible
# Some numbers are square, yet others are triangular
# The next sentence is true but you must not believe it
# The previous sentence was false
# 12+3-4+5+67+8+9=100 and there exists at least one other representation of 100 with 9 digits in the right order and math operations in between
# One can cut a pie into 8 pieces with three movements
# Program=Algorithms+Data Structures
# There is something the dead eat but if the living eat it, they die.
# A clock never showing right time might be preferable to the one showing right time twice a day
# Among all shapes with the same area circle has the shortest perimeter