Yes. For most people those two options would be the same, which is why the difference between those two options matter.
Equality of Chance merely means that everyone gets a shot at becoming, for example, a Math PhD. You still have to put in as much elbow grease as everyone else and work just as hard as everyone else. If female and male humans are equivalent mentally then the end result should be a 50/50 distribution.
If there are mental differences then the distribution would be skewed but it would be fine since everyone has gotten the same chance as everyone else. It's the approach with the highest game-theoretic fairness; the chance of winning the game is directly related to the skill you bring to the table.
>You cannot even properly define what you mean by "brain and/or mind",
With brain I mean just that, I don't know why it lacks definition. I mean the raw organ of thought in the human skull. There are notable differences, as mentioned, found at early stages in the brain that are sufficient for a computer or human to identify the gender or sex of an individual with a higher-than-chance probability.
With mind I was refering to the mental capacity and properties of an individual, ie how good they are at math, their social skills, IQ score, pain tolerance, etc (these are just example categories, not necessarily categories in which a significant difference exists).
>which is why it's impossible to convince you that there actually is injustice if your opinion relies on that
It is certainly possible to convine me of the opposite, I have clearly formulated which evidence would be sufficient.
>Then why would we have to adjust our society to it, as it would benefit from less social tensions if there was equal outcome?
That question feels slightly loaded since it proposes that an equal outcome leads to less tension. Current movements concerned with an inequality of outcome do only so because it is unfairly inequal.
Not a lot of people complain when the outcome of the game is inequal but fair (for example, nobody minds that someone with low strength will be unable to participate in olympic weight lifting, there is an unequal chance of participation and outcome, but it's a fair process)
The resolution to the problem of "do we have to adjust society" is another question "is the reason we are suggesting to change due to a fair or unfair process?".
[footnote]: Fair and unfair are defined as the ability of a player to apply their skills and get an equal amount of reward to other players with the same skill level (or with neglible difference)
If I understood correctly in your original argument you tried to point out that you need this "brain/mind" to be good in STEM. I would argue that anything which has certain mental capabilities (which I'm not able to define) can be good at STEM whether or not it has a brain or even is human or not, would you agree to that? If so, to keep your argument valid you would have to define these properties which are necessary for being good at STEM. In the previous comment I was just doubting that you can do that, as these properties are not bound to a certain physical form under that assumption.
> That question feels slightly loaded since it proposes that an equal outcome leads to less tension.
I agree to that. So, it seems like both equal outcome and equal chances create social tension. Or are you claiming once this hypothetical convincing theory is out "feminists" will be gone?
> (for example, nobody minds that someone with low strength will be unable to participate in olympic weight lifting, there is an unequal chance of participation and outcome, but it's a fair process)
Yet people are concerned about doping. It's the athletes decision to risk his life for better outcome. Why does that make the competition unfair then?
> Not a lot of people complain when the outcome of the game is inequal but fair.
I would claim in real life situations it is almost impossible for me to objectively tell whether the game is rigged or I just performed very well/bad. But I can tell that the larger the differences in outcome averaged over many people, the more I'm suspicious.
Hopefully not. Without opposition my hypotehtical theory would have no way of being refined further through discussion.
>I would argue that anything which has certain mental capabilities (which I'm not able to define) can be good at STEM whether or not it has a brain or even is human or not, would you agree to that?
I would agree to that in a limited capacity. These mental capabilities are more like capacities, the efficiency and speed of them is dependant on an individual. I propose that some of them may depend on which chromosome the human individual got at birth. In other physical forms this (potential) difference could be less pronounced or more pronounced.
>Yet people are concerned about doping. It's the athletes decision to risk his life for better outcome. Why does that make the competition unfair then?
Doping affects the added definition of fairness, other players who did not dope with the same skill level are outperformed; if two identically strong players were to participate, one doping, one not, then the doping one would have an unfair advantage that the not-doping player will have to compensate with a lot of hard work.
>But I can tell that the larger the differences in outcome averaged over many people, the more I'm suspicious.
That's usually a pretty terrible approach. Simply averaging the outcome is an easy way to trip over every statistical quirk there is.
The only way to be sure that the game is fair is to get a decent sample out of the population and perform a thorough statistical analysis that accounts for all variables possible. And I would suggest that the data crunching would be performed by people of differing political orientations, as much as possible, including hard right and hard left, to ensure that there is as little ideological bias as possible.