| **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)) --- ### 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))) --- # 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 --- # Hashtags #debate #arguments #transgender