Question

nd iwo models thel choul Phal Phe aemenl na liuo me

can anyone solves it? please.

Answer 1

Let us write down axioms

1: Every team plays at least two games. that means there are 2,3,4.... so on games

2: Every game has at least two teams that game can be played with more than 2 teams

3 : there exist at least one team so there that means exist 1,2,3... so on teams

First statements says

"There are exactly two teams" is independent of the axioms .

Let us consider there are exactly two teams A and B So by 1 axiom, A and B should have to play a tleast 2 games and by 2 axiom, it is clear that A must have to play with B both the games.

But by 3 axiom if there is only one team A it is not possible to play a game since every game has at least two teams So the first statement is independent of the axioms.