## Strict Gametic Definition

#### Intended Usage

| <font color="CC6600">**Definiendum**</font> | <font color="CC6600">**Definiens**</font> |
|:-------------------------------------------:|:----------------------------------------- |
|      <font color="CC6600">**M**</font>      | something (x) counts as male              |
|      <font color="CC6600">**F**</font>      | something (x) counts as female            |
|      <font color="CC6600">**S**</font>      | something (x) is a small gamete           |
|      <font color="CC6600">**L**</font>      | something (x) is a large gamete           |
|      <font color="CC6600">**p**</font>      | sperm                                     | 
|      <font color="CC6600">**o**</font>      | ova                                       |

<div style="text-align: center">
<font color="CC6600">
<b>P1)</b></font> Something counts as male if, and only if, something is a small gamete, and something counts as female if, and only if something is a large gamete.
<br />
<font color="CC6600">
<b>(∀x(Mx↔Sx)∧∀x(Fx↔Lx))</b>
<br />
<b>P2)</b></font> Sperm are small gametes, and ova are large gametes.
<br />
<font color="CC6600">
<b>(Sp∧Lo)</b>
<br />
<b>C)</b></font> Therefore, sperm count as male and ova count as female.
<br />
<font color="CC6600">
<b>(∴Mp∧Fo)</b>
<br />
<br />
</font>
</div>

[Proof Tree](https://www.umsu.de/trees/#(~6x(Mx~4Sx)~1~6x(Fx~4Lx)),(Sp~1Lo)|=(Mp~1Fo))

#### Reductio

| <font color="CC6600">**Definiendum**</font> | <font color="CC6600">**Definiens**</font> |
|:-------------------------------------------:|:----------------------------------------- |
|      <font color="CC6600">**M**</font>      | something (x) counts as male              |
|      <font color="CC6600">**F**</font>      | something (x) counts as female            |
|      <font color="CC6600">**S**</font>      | something (x) is a small gamete           |
|      <font color="CC6600">**L**</font>      | something (x) is a large gamete           |
|      <font color="CC6600">**e**</font>      | people                                    |

<div style="text-align: center">
<font color="CC6600">
<b>P1)</b></font> Something counts as male if, and only if, something is a small gamete, and something counts as female if, and only if something is a large gamete.
<br />
<font color="CC6600">
<b>(∀x(Mx↔Sx)∧∀x(Fx↔Lx))</b>
<br />
<b>P2)</b></font> People are neither small gametes nor large gametes.
<br />
<font color="CC6600">
<b>(¬Se∧¬Le)</b>
<br />
<b>C)</b></font> Therefore, people do not count as male or female.
<br />
<font color="CC6600">
<b>(∴¬Me∧¬Fe)</b>
<br />
<br />
</font>
</div>

[Proof Tree](https://www.umsu.de/trees/#(~6x(Mx~4Sx)~1~6x(Fx~4Lx)),(~3Se~1~3Le)|=(~3Me~1~3Fe))

---

## Gametic Entailed Definition

#### Intended Usage

| <font color="CC6600">**Definiendum**</font> | <font color="CC6600">**Definiens**</font> |
|:-------------------------------------------:|:----------------------------------------- |
|      <font color="CC6600">**M**</font>      | something (x) counts as male              |
|      <font color="CC6600">**F**</font>      | something (y) counts as female            |
|      <font color="CC6600">**S**</font>      | something (x) produces small gametes      |
|      <font color="CC6600">**L**</font>      | something (y) produces large gametes      |
|      <font color="CC6600">**t**</font>       | a person with gametogenic testes          |
|      <font color="CC6600">**o**</font>       | a person with gametogenic ovaries         |

<div style="text-align: center">
<font color="CC6600">
<b>P1)</b></font> Something counts as male if, and only if, something produces small gametes, and something counts as female if, and only if something produces large gametes.
<br />
<font color="CC6600">
<b>(∀x(Mx↔Sx)∧∀x(Fx↔Lx))</b>
<br />
<b>P2)</b></font> A person with gametogenic testes produces small gametes, and a person with gametogenic ovaries produces large gametes.
<br />
<font color="CC6600">
<b>(St∧Lo)</b>
<br />
<b>C)</b></font> Therefore, A person with gametogenic testes counts as male, and a person with gametogenic ovaries counts as female.
<br />
<font color="CC6600">
<b>(∴Mt∧Fo)</b>
<br />
<br />
</font>
</div>

[Proof Tree](https://www.umsu.de/trees/#(~6x(Mx~4Sx)~1~6x(Fx~4Lx)),(St~1Lo)|=(Mt~1Fo))

#### Reductio

| <font color="CC6600">**Definiendum**</font> | <font color="CC6600">**Definiens**</font> |
|:-------------------------------------------:|:----------------------------------------- |
|      <font color="CC6600">**M**</font>      | something (x) counts as male              |
|      <font color="CC6600">**F**</font>      | something (y) counts as female            |
|      <font color="CC6600">**S**</font>      | something (x) produces small gametes      |
|      <font color="CC6600">**L**</font>      | something (y) produces large gametes      |
|      <font color="CC6600">**a**</font>      | a person with azoospermia                 |
|      <font color="CC6600">**w**</font>      | a person with complete gonadal dysgenesis | 

<div style="text-align: center">
<font color="CC6600">
<b>P1)</b></font> Something counts as male if, and only if, something produces small gametes, and something counts as female if, and only if something produces large gametes.
<br />
<font color="CC6600">
<b>(∀x(Mx↔Sx)∧∀x(Fx↔Lx))</b>
<br />
<b>P2)</b></font> A person with azoospermia does not produce small gametes and a person with complete gonadal dysgenesis does not produce large gametes.
<br />
<font color="CC6600">
<b>(¬Sa∧¬Lw)</b>
<br />
<b>C)</b></font> Therefore, a person with azoospermia does not count as male, and a person with complete gonadal dysgenesis does not count as female.
<br />
<font color="CC6600">
<b>(∴¬Ma∧¬Fw)</b>
<br />
<br />
</font>
</div>

[Proof Tree](https://www.umsu.de/trees/#(~6x(Mx~4Sx)~1~6x(Fx~4Lx)),(~3Sa~1~3Lw)|=(~3Ma~1~3Fw))

---

# Human Sex

> A concept that describes belonging to one of two, or both, anatomical categories—male and female—characterized by clusters of anatomical traits typically associated with the production of small gametes, but not large gametes, in males, and large gametes, but not small gametes, in females.

# Human Gender

> A concept that broadly describes belonging to one of three bimodally distributed categories—masculine, feminine, and androgynous—characterized by the predominance of weighted anatomical and non-anatomical traits (including cultural, social, and psychological traits) associated with small gametes (masculine), large gametes (feminine), or an ambiguous blend of both (androgynous). Terms like boy and man, girl and woman, and tomboy, femboy, and non-binary are subsumed by masculine, feminine, and androgynous, respectively.

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# Hashtags

#debate 
#arguments 
#transgender