Mathematically, two things are equal when they are exactly the same and when they represent the same object. Equality is symmetric, transitive, and reflexive. For men and women to be equal, they would have to be identically the same in attributes. Biologically, men and women are distinctly different. Men cannot give birth. Men cannot get periods. Although, physically men and women may look similar to some degree. However, mentally and hormonally they may also differ. Essentially, they have different attributes that define their aggregate makeup. Generally, laws of most countries, on paper, only recognize two genders male and female, so we can reduce the complexity here from infinite genders. Since male has XY chromosome and female has XX chromosome, for female to equal to male, X would have to equal to Y. The laws of equality dictate that if x = y, then y = x. That would invalidate the existence of two sexes. For a woman to exist or continue to exist, one would need XY for reproduction and variety assuming the first woman born cannot be born pregnant. In order for the population to grow, there is a need for XY chromosome. Although, this is quite an oversimplification from the various mutations that can occur. Lets assume X = 1, and Y = 2. In which case, through addition, X+X = 2 and X+Y = 3, 2 is not equal to 3. Lets assume the second scenario of X = Y, Y = X. In which case X+X = 2 and X+Y (which can be replaced by X) = 2 but this is not possible because that would mean both are women under the laws of equality which would refute the claim for having two sexes man and a woman. The alternative also does not hold when X is substituted for Y in which case both cannot be men. But, since men and women do exist, equality cannot hold. Precisely, why a woman is called a woman, and a man is called a man, because the two are dissimilar. In fact, one can substitute addition for multiplication and derive at the same answer. Which would imply that Y cannot equal to X, therefore XX cannot equal to XY. Invariably, in society we still find women expecting men to pay after them and even to the point of bending the knee for a proposal. Rarely, do we see a woman bending the knee to propose to a man. Women often take pride in the fact that they can multitask, while at the same time making the implication that men cannot. By making such sweeping statements, perhaps, they don't realize they put themselves in a self-defeating corner of any justifiable evidence for equality. Also, stating that biological males should not be competing against biological females automatically dismisses any argument in support for equality. Separate public bathrooms for men and women also disproves the notion of equality. Laws in most societies are there to protect women in terms of abortions, custody battles, alimony, and child support. When it comes to abortions women talk about "my body, my choice" and ignore the rights of the father. However, when the child is born, suddenly the rights of the father become apparent to the woman when she demands child support. Such expectations clearly do not define equality. However, what they do display is hypocritical double standards. Hence, they may have different needs but similar wants which is what society defines as equality. An obvious case can be found in their differential needs in a typical supermarket where women personal care aisle is separate from the men personal care aisle. If they were equal they would both share essentially the same needs in personal care products. That would imply that emotions aside, logically men and women are two distinct types of humans that cannot be equal to each other. In fact, one can go further, and make the assumption under the laws of equality for the cases of both men and women that they are essentially defined as unique individuals with uniquely defined attributes that measure the summation of their identities. No two men are ever alike. Just like no two women are ever alike. We are all unique in our own way. In fact, even identical twins eventually develop variants. In multi-faceted societies, gender roles often are affected by environment factors that go beyond economic, social, and cultural divides that influence the makeup of individual personalities and identities.
