1. A sphere has two sides. However, there are one-sided surfaces.
2. There are shapes of constant width other than the circle. One can even drill square holes.
3. There are just five regular polyhedra
4. In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
5. Everything you can do with a ruler and a compass you can do with the compass alone
6. Among all shapes with the same perimeter a circle has the largest area.
7. There are curves that fill a plane without holes
8. Much as with people, there are irrational, perfect, complex numbers
9. As in philosophy, there are transcendental numbers
10. As in the art, there are imaginary and surreal numbers
11. A straight line has dimension 1, a plane - 2. Fractals have mostly fractional dimension
12. You are wrong if you think Mathematics is not fun
13. Mathematics studies neighborhoods, groups and free groups, rings, ideals, holes, poles and removable poles, trees, growth ...
14. Mathematics also studies models, shapes, curves, cardinals, similarity, consistency, completeness, space ...
15. Among objects of mathematical study are heredity, continuity, jumps, infinity, infinitesimals, paradoxes...
16. Last but not the least, Mathematics studies stability, projections and values, values are often absolute but may also be extreme, local or global.
17. Trigonometry aside, Mathematics comprises fields like Game Theory, Braids Theory, Knot Theory and more
18. One is morally obligated not to do anything impossible
19. Some numbers are square, yet others are triangular
20. The next sentence is true but you must not believe it
21. The previous sentence was false
22. 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
23. One can cut a pie into 8 pieces with three movements
24. Program=Algorithms+Data Structures
25. There is something the dead eat but if the living eat it, they die.
26. A clock never showing right time might be preferable to the one showing right time twice a day
27. Among all shapes with the same area circle has the shortest perimeter

It seems your own work because all genius can be expected of your side. nywy : -


1. A sphere has two sides. However, there are one-sided surfaces.

Dont understand. (DU)

2. There are shapes of constant width other than the circle. One can even drill square holes.

The shape having constant width can only be a circle. A square also can be said to be having constant width but it surely have different width between its corner sides. So this assertion is un-understandable to me.


3. There are just five regular polyhedra

DU

4. In a group of 23 people, at least two have the same birthday with the probability greater than 1/2

may be 'statistically' true ...... but I dont believe in probability. If I form a group of such 23 people; all having different birthdays; Maybe 'probability' remains the same but at the same time there shall be no real 'probability' that any two may have the same birthday. That is why I do not believe in 'probability'.

5. Everything you can do with a ruler and a compass you can do with the compass alone

But ... it might be very difficult than ....!!!! Nice info anyway!

6. Among all shapes with the same perimeter a circle has the largest area.

Hmm.... then I think that 'perimeters' also must be different. Maybe I wrong...I am not sure.

7. There are curves that fill a plane without holes

DU

8. Much as with people, there are irrational, perfect, complex numbers

Yes! but they do not occur in definite sequential order.

9. As in philosophy, there are transcendental numbers



10. As in the art, there are imaginary and surreal numbers



11. A straight line has dimension 1, a plane - 2. Fractals have mostly fractional dimension

1/2 DU

12. You are wrong if you think Mathematics is not fun
So I am right.

13. Mathematics studies neighborhoods, groups and free groups, rings, ideals, holes, poles and removable poles, trees, growth ...



14. Mathematics also studies models, shapes, curves, cardinals, similarity, consistency, completeness, space ...



15. Among objects of mathematical study are heredity, continuity, jumps, infinity, infinitesimals, paradoxes...

informative

16. Last but not the least, Mathematics studies stability, projections and values, values are often absolute but may also be extreme, local or global.



17. Trigonometry aside, Mathematics comprises fields like Game Theory, Braids Theory, Knot Theory and more



18. One is morally obligated not to do anything impossible

Don't Agree!

19. Some numbers are square, yet others are triangular

understand ....... to some extent

20. The next sentence is true but you must not believe it



21. The previous sentence was false

fooo............. so i was wrong.

22. 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

DU

23. One can cut a pie into 8 pieces with three movements



24. Program=Algorithms+Data Structures

Nice info

25. There is something the dead eat but if the living eat it, they die



26. A clock never showing right time might be preferable to the one showing right time twice a day

A non-functional clock can do the same for every one....!

27. Among all shapes with the same area circle has the shortest perimeter

hmmmm....... if assertion number 6 is true, then 27, being the logical conclusion of 6, must also be true.