## Scatter Plot: Projection of activations on tG and tP
### Overview
The image contains two scatter plots, each displaying the projection of activations on tG and tP. The left plot represents "Affirmative Statements," while the right plot represents "Negated Statements." Each plot distinguishes between "False" (red) and "True" (blue) statements. The x-axis represents a_ij^T t_G, and the y-axis represents a_ij^T t_P.
### Components/Axes
* **Title:** Projection of activations on tG and tP
* **Subtitles:** Affirmative Statements (left plot), Negated Statements (right plot)
* **X-axis (both plots):** a_ij^T t_G
* Scale: -0.8 to 0.6, with tick marks at -0.6, -0.4, -0.2, 0.0, 0.2, 0.4, 0.6 on the left plot.
* Scale: -0.8 to 0.4, with tick marks at -0.8, -0.6, -0.4, -0.2, 0.0, 0.2, 0.4 on the right plot.
* **Y-axis (both plots):** a_ij^T t_P
* Scale: -0.8 to 0.4, with tick marks at -0.8, -0.6, -0.4, -0.2, 0.0, 0.2, 0.4 on the left plot.
* Scale: -1.0 to 0.4, with tick marks at -1.0, -0.8, -0.6, -0.4, -0.2, 0.0, 0.2, 0.4 on the right plot.
* **Legend (bottom-right):**
* Red: False
* Blue: True
### Detailed Analysis
**Left Plot (Affirmative Statements):**
* **Red (False):** The red data points form a cluster that extends from approximately (-0.6, -0.8) to (0.2, 0.2). The trend is generally upward-sloping.
* **Blue (True):** The blue data points form a cluster in the upper-right quadrant, roughly from (0.0, 0.0) to (0.6, 0.4).
**Right Plot (Negated Statements):**
* **Red (False):** The red data points are clustered in the upper-left quadrant, approximately from (-0.8, 0.0) to (0.0, 0.2).
* **Blue (True):** The blue data points are clustered in the lower-right quadrant, approximately from (0.0, -0.8) to (0.4, 0.0).
### Key Observations
* In the "Affirmative Statements" plot, there is a clear separation between "False" and "True" statements, with "True" statements generally having higher values on both axes.
* In the "Negated Statements" plot, the "False" and "True" statements are more separated, occupying distinct quadrants.
* The distribution of points suggests that the model distinguishes between "True" and "False" statements differently for affirmative and negated statements.
### Interpretation
The plots visualize how activations are projected onto tG and tP for affirmative and negated statements, categorized by their truth value. The separation between "True" and "False" clusters in both plots indicates that the model is sensitive to the truth value of the statements. The different distributions between the "Affirmative" and "Negated" plots suggest that the model processes these types of statements differently. The model appears to encode truth differently depending on whether the statement is affirmative or negated. The clusters represent the internal representation of these statements within the model.
