If 2 men can marry each other how can you deny a man to marry 2 women from a logical point of view?

Not from a logical point of view, especially since polygamy was normal practice in many places and for thousands of years; and is still legal in many countries.

Homosexual love relationships have also been practiced for thousands of years, and in some cultures was considered "higher" than love between a husband and wife. Yet same-sex marriage has never been socially or legally recognized until now.

The reason is, I think, that marriage was considered essentially for producing and raising children, which is necessary to keep the human species going. Same-sex love had other purposes.

Because in the words " one man and one woman" you can apparently change the sexes, but not the numbers. I think the reason is that if a man has two wives, then women will have to face that there is something men can do that they can not, which is to be a breeding stud, getting multiple wives pregnant at once. One woman could try to marry two men, but that would be just as ridiculous as gay marriage.

You can't. There are many definitions of marriage, even 'traditional marriage', and some of those definitions include same-sex marriages as well as polygamy. The government should avoid defining marriage beyond a contract between consenting individuals that legally affirms certain rights, protections and responsibilities for each party.

Nothing more special than 2 dudes pumping each other in the azz! Gross

Liberals have no use for formal logic. So, your question means nothing to them. It merely irritates them.

You can; two consenting adults is not the same as three consenting adults. Come on man.

I learned in first grade that two does not equal three.

Or an old man wedding his best goat?

people should be able to marry their pets too

There is no logic in any of it.