From fc313ee5745d6660413949bb7301c06d20d92abc Mon Sep 17 00:00:00 2001 From: Jacob Walchuk Date: Mon, 14 Jul 2025 14:48:07 -0700 Subject: paper 2: graphics fixed (Ds and Fs ital'd, sorites items bolded) --- papers/2.tex | 4 ++-- papers/3.tex | 2 +- papers/figures/2-1.pdf | Bin 116208 -> 112835 bytes papers/figures/2-2.pdf | Bin 76634 -> 148350 bytes papers/figures/2-3.pdf | Bin 130978 -> 131282 bytes papers/figures/2-4.pdf | Bin 132636 -> 92442 bytes papers/figures/2-5.pdf | Bin 131474 -> 131377 bytes papers/figures/2-6.pdf | Bin 132443 -> 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 Binary files a/papers/figures/2-1.pdf and b/papers/figures/2-1.pdf differ diff --git a/papers/figures/2-2.pdf b/papers/figures/2-2.pdf index f4e6eee..d15309f 100644 Binary files a/papers/figures/2-2.pdf and b/papers/figures/2-2.pdf differ diff --git a/papers/figures/2-3.pdf b/papers/figures/2-3.pdf index 048f933..2c80ee3 100644 Binary files a/papers/figures/2-3.pdf and b/papers/figures/2-3.pdf differ diff --git a/papers/figures/2-4.pdf b/papers/figures/2-4.pdf index 825e86a..b60b863 100644 Binary files a/papers/figures/2-4.pdf and b/papers/figures/2-4.pdf differ diff --git a/papers/figures/2-5.pdf b/papers/figures/2-5.pdf index cbe7eec..dd0c3de 100644 Binary files a/papers/figures/2-5.pdf and b/papers/figures/2-5.pdf differ diff --git a/papers/figures/2-6.pdf b/papers/figures/2-6.pdf index a50acf7..deb34e3 100644 Binary files a/papers/figures/2-6.pdf and b/papers/figures/2-6.pdf differ -- cgit v1.2.3