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authorJacob Walchuk <jpw24@st-andrews.ac.uk>2025-07-14 14:48:07 -0700
committerJacob Walchuk <jpw24@st-andrews.ac.uk>2025-07-14 14:48:07 -0700
commitfc313ee5745d6660413949bb7301c06d20d92abc (patch)
tree299af93a89f0340633d2ff7f036b6c7f477dbb4e
parent9310d50fdfe317abbbca344b5f9d476097e3c3b9 (diff)
paper 2: graphics fixed (Ds and Fs ital'd, sorites items bolded)
-rw-r--r--papers/2.tex4
-rw-r--r--papers/3.tex2
-rw-r--r--papers/figures/2-1.pdfbin116208 -> 112835 bytes
-rw-r--r--papers/figures/2-2.pdfbin76634 -> 148350 bytes
-rw-r--r--papers/figures/2-3.pdfbin130978 -> 131282 bytes
-rw-r--r--papers/figures/2-4.pdfbin132636 -> 92442 bytes
-rw-r--r--papers/figures/2-5.pdfbin131474 -> 131377 bytes
-rw-r--r--papers/figures/2-6.pdfbin132443 -> 92362 bytes
8 files changed, 3 insertions, 3 deletions
diff --git a/papers/2.tex b/papers/2.tex
index 6ec05f9..620bcc4 100644
--- a/papers/2.tex
+++ b/papers/2.tex
@@ -605,7 +605,7 @@ $D_{2}{\sim}D_{1}F\ \&\ D_{2}{\sim}D_{1}{\sim}F $ & = & $\{ \mathbf{c} \}$
\end{center}
\begin{center}
-\includegraphics[width=4.79722in,height=2.19101in]{papers/figures/2-4.pdf}
+\includegraphics[width=0.77\textwidth]{papers/figures/2-4.pdf}
\end{center}
Hence, in this part of the series, the vagueness of \(D_{1}\) is fully
accounted for since all \(D_{1}\) categories have borderline cases.
@@ -639,7 +639,7 @@ $D_3 {\sim}D_2 F \ \& \ D_3 {\sim}D_2 {\sim}F$ & = & $\{ \mathbf{c} \}$
\end{center}
\begin{center}
- \includegraphics[width=4.875in,height=2.1236in]{papers/figures/2-6.pdf}
+ \includegraphics[width=0.77\textwidth]{papers/figures/2-6.pdf}
\end{center}
Thus, vagueness of \(D_{2}\) is accounted for.
diff --git a/papers/3.tex b/papers/3.tex
index efbc913..a4ba95e 100644
--- a/papers/3.tex
+++ b/papers/3.tex
@@ -183,7 +183,7 @@ Thus, overall, while AH response is a good substantive explanation answering the
In this paper, I have examined three responses to Williamson's Explanation Challenge and argued that each response faces their own problems. While I argue for the stronger conclusion that the first two challenges fail, I argue for the weaker conclusion that the last response succeeds but only with additional dialectical cost to contingentism. I hope this paper has helped to clarify the stake of Williamson's ``first horn" to contingentism in Chapter 6 and strengthen his argument against contingentism.
\section{Appendix}
-
+\setlength{\tabcolsep}{0pt}
\subsection{The proof for (Tracking)}
First, we can observe the following proof: \\
\begin{quote}
diff --git a/papers/figures/2-1.pdf b/papers/figures/2-1.pdf
index 35cd50a..9dbaaf0 100644
--- a/papers/figures/2-1.pdf
+++ b/papers/figures/2-1.pdf
Binary files differ
diff --git a/papers/figures/2-2.pdf b/papers/figures/2-2.pdf
index f4e6eee..d15309f 100644
--- a/papers/figures/2-2.pdf
+++ b/papers/figures/2-2.pdf
Binary files differ
diff --git a/papers/figures/2-3.pdf b/papers/figures/2-3.pdf
index 048f933..2c80ee3 100644
--- a/papers/figures/2-3.pdf
+++ b/papers/figures/2-3.pdf
Binary files differ
diff --git a/papers/figures/2-4.pdf b/papers/figures/2-4.pdf
index 825e86a..b60b863 100644
--- a/papers/figures/2-4.pdf
+++ b/papers/figures/2-4.pdf
Binary files differ
diff --git a/papers/figures/2-5.pdf b/papers/figures/2-5.pdf
index cbe7eec..dd0c3de 100644
--- a/papers/figures/2-5.pdf
+++ b/papers/figures/2-5.pdf
Binary files differ
diff --git a/papers/figures/2-6.pdf b/papers/figures/2-6.pdf
index a50acf7..deb34e3 100644
--- a/papers/figures/2-6.pdf
+++ b/papers/figures/2-6.pdf
Binary files differ