| **Definiendum** | **Definiens** |
|:-------------------------------------------:|:------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| **Male** | the cluster of traits that associate with small, but not large, gametes. |
| **Female** | the cluster of traits that associate with large, but not small, gametes. |
| **W** | someone (x) is a woman |
| **M** | someone (x) is a man |
| **L** | someone (x) possesses a sufficiently greater sum of weighted traits that more closely associate with large gametes than weighted traits that associate with small gametes |
| **S** | someone (x) possesses a sufficiently greater sum of weighted traits that more closely associate with small gametes than weighted traits that associate with large gametes |
| **O** | someone (x) is over 18 years of age |
| **a** | a trans person of the male sex |
| **g** | a trans person of the female sex |
P1) Someone is a woman if, and only if, someone possesses a sufficiently greater sum of weighted traits that more closely associate with large gametes than weighted traits that associate with small gametes and someone is over 18 years of age.
(∀x(Wx↔Lx∧Ox))
P2) Someone is a man if, and only if, someone possesses a sufficiently greater sum of weighted traits that more closely associate with small gametes than weighted traits that associate with large gametes and someone is over 18 years of age.
(∀x(Mx↔Sx∧Ox))
P3) A trans person of the male sex possesses a sufficiently greater sum of weighted traits that more closely associate with large gametes than weighted traits that associate with small gametes and a trans person with small gametes is over 18 years of age.
(La∧Oa)
P4) A trans person of the female sex possesses a sufficiently greater sum of weighted traits that more closely associate with small gametes than weighted traits that associate with large gametes and a trans person with large gametes is over 18 years of age.
(Sg∧Og)
C) Therefore, a trans person of the male sex is a woman and a trans person with female sex is a man.
(∴Wa∧Mg)
[Proof Tree](https://www.umsu.de/trees/#(~6x(Wx~4Lx~1Ox)),(~6x(Mx~4Sx~1Ox)),(La~1Oa),(Sg~1Og)|=(Wa~1Mg))
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### Maz' Argument
| **Definiendum** | **Definiens** |
|:-------------------------------------------:|:------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| **W** | Someone (x) is a woman |
| **M** | Someone (x) is a man |
| **B** | Someone (x) is a trans person with female sex |
| **A** | Someone (x) is a trans person with male sex |
| **L** | Someone (x) possesses a sufficiently greater sum of weighted traits that more closely associate with large gametes than weighted traits that associate with small gametes |
| **S** | Someone (x) possesses a sufficiently greater sum of weighted traits that more closely associate with small gametes than weighted traits that associate with large gametes |
| **O** | Someone (x) is over 18 years of age |
P1) Someone is a woman if, and only if, someone possesses a sufficiently greater sum of weighted traits that more closely associate with large gametes than weighted traits that associate with small gametes **and** is over 18 years of age.
(∀x(Wx↔(Lx∧Ox)))
P2) Someone is a man if, and only if, someone possesses a sufficiently greater sum of weighted traits that more closely associate with small gametes than weighted traits that associate with large gametes and is over 18 years of age.
(∀x(Mx↔(Sx∧Ox)))
P3) Someone is a trans person with male sex if, and only if, someone possesses a sufficiently greater sum of weighted traits that more closely associate with large gametes than weighted traits that associate with small gametes and is over 18 years of age.
∀x(Ax↔(Lx∧Ox))
P4) Someone is a trans person with female sex if, and only if, someone possesses a sufficiently greater sum of weighted traits that more closely associate with small gametes than weighted traits that associate with large gametes and is over 18 years of age.
∀x(Bx↔(Sx∧Ox))
C) Therefore, a trans person with small gametes implies a women and a trans person with large gametes implies a man.
(∴∀x(Ax→Wx)∧∀x(Bx→Mx))
[Proof Tree](https://www.umsu.de/trees/#(~6x(Wx~4(Lx~1Ox))),(~6x(Mx~4(Sx~1Ox))),~6x(Ax~4(Lx~1Ox)),~6x(Bx~4(Sx~1Ox))|=(~6x(Ax~5Wx)~1~6x(Bx~5Mx)))
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# References
Hermaphrodites:
https://www.fertstert.org/article/S0015-0282(08)00233-1/fulltext
Producing both small and large gametes:
https://pubmed.ncbi.nlm.nih.gov/4532534/
https://www.deepdyve.com/lp/pubmed/ovulation-in-a-cytogenetically-proved-phenotypically-male-fertile-Steztrbecy
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# Hashtags
#debate
#arguments
#transgender