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<p>Any formal system is based on a set of premises<br>
which, may or may not, be true in practice.</p>
<p>An empirical test failure can be due to a flawed test or a flawed
/ inapplicable premise</p>
<p>Peter<br>
</p>
<div class="moz-cite-prefix">On 01/07/2020 17:25, Olwen Morgan
wrote:<br>
</div>
<blockquote type="cite"
cite="mid:ac9a7131-800a-a9f3-3c98-79631e5bcbe6@phaedsys.com">
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<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
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white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;"><br>
</span></p>
<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform: none;
white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;">Apropos of what, if things go wrong here, could
end up somewhat akin to a pub brawl with PBL, I'd like to
offer the following quotation from the late and profoundly
missed Academician Vladimir Igorevich Arnold:</span></p>
<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform: none;
white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;"><br>
</span></p>
<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform: none;
white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;">"Mathematics is a part of physics. Physics is an
experimental science, a part of natural science. Mathematics
is the part of physics where experiments are cheap."</span></p>
<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform: none;
white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;"><br>
</span></p>
<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform: none;
white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;">You can believe what Peter is suggesting about
CbyC if and only if you *disagree* with the proposition that
mathematics is an empirical science.</span></p>
<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform: none;
white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;">Sorry, Peter, but if I have a choice between
believing you and believing Arnold, I'm afraid Arnold wins.</span></p>
<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform: none;
white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;"><br>
</span></p>
<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform: none;
white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;">Olwen</span></p>
<p><span style="color: rgb(0, 0, 0); font-family: "Times New
Roman"; font-size: medium; font-style: normal;
font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform: none;
white-space: normal; widows: 2; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color: rgb(255,
255, 248); text-decoration-style: initial;
text-decoration-color: initial; display: inline !important;
float: none;"><br>
</span></p>
<br>
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