<html><body><div style="color:#000; background-color:#fff; font-family:times new roman, new york, times, serif;font-size:12pt"><div><span style="font-family: Arial; font-size: 13px;">Adrian Tymes <atymes@gmail.com> wrote:</span><br></div><div style="font-family: 'times new roman', 'new york', times, serif; font-size: 12pt;"><div style="font-family: 'times new roman', 'new york', times, serif; font-size: 12pt;"><div dir="ltr"><br></div><div class="y_msg_container">
<div id="yiv9029259961"><div dir="ltr"><div class="yiv9029259961gmail_extra"><div class="yiv9029259961gmail_quote">On Thu, Aug 22, 2013 at 11:50 PM, Gordon <span dir="ltr"><<a rel="nofollow" ymailto="mailto:gts_2000@yahoo.com" target="_blank" href="mailto:gts_2000@yahoo.com">gts_2000@yahoo.com</a>></span> wrote:<br>
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<div style="font-size:12pt;"><div style="font-size:12pt;">Good, thanks. Now what does it mean to say, as I do and you seem to agree, "in the limit as I approach c"? You'll recall that I am accelerating toward c relative to earth such that the difference between my speed and c is halved in each time period. In theory I never reach c, so I needn't worry about the supposed impossibility of a massive object moving at c, but I do become infinitely close to c. This seems fine until one considers that .999... 1.</div>
</div></div></blockquote></div></div></div></div></div></div></div></div></blockquote><div><br></div><div>>That last sentence is unclear. What do you mean by ".999...1"? </div><div><br></div><div>I think it is a fact of mathematics that .99... carried out to an infinite number of 9s is equal to 1. No? </div><div><br></div><div>If true then when I say "in the limit when I approach c" it means that in the limit I am travelling at c. Or at least I don't see the difference.</div><div><span style="font-size: 12pt;"><br></span></div><div><span style="font-size: 12pt;">> Also, for any real case, you have finite acceleration over finite time.</span></div><div><span style="font-size: 12pt;"><br></span></div><div><span style="font-size: 12pt;">I suppose so, but we are talking theory here. I can accelerate for an infinite amount of time such until I reach c in the limit. </span></div><div><span style="font-size:
12pt;"><br></span></div><div><span style="font-size: 12pt;">Perhaps calculus does not apply to these questions. I don't know. I think you also mentioned Zeno's paradox, which I agree might apply.</span></div><div><span style="font-size: 12pt;"><br></span></div><div><span style="font-size: 12pt;">Gordon</span></div></div></div></div></div></div> </div> </div> </div></body></html>