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1   20.09.2014 - 19:37 Серёга пишет:

В задаче нет одного очень важного условия: зависит ли скорость Ахиллеса от скорости черепахи? Если да, то задача имеет несколько решений, смотря из какой логики исходить. Логика №1: если черепаха сначала продвигается на 100м, затем на 10м, далее на 1м, потом на 10см... т. е. скорость её СТРЕМИТСЯ К НУЛЮ, и следовательно скорость Ахиллеса так же стремится к нулю, раз зависит напрямую от скорости черепахи, то, разумеется, он никогда её не догонит, хоть и приблизится на бесконечно близкую величину. Логика №2: от обратного. Черепаха сначала продвигается на бесконечно малую величину, затем с каждым этапом увеличивает свою скорость в 10раз-это мало что меняет, т. к. этапов будет так же бесконечное множество. Не берусь судить, сколько их будет до того, как скорость поднимется до более-менее ползающих и бегающих земных скоростных величин, но в обозримом будущем Ахиллес опять же не догонит черепаху, но будет приближаться к ней со всё возрастающей скоростью и в конце концов её догонит. Логика №3: черепаха всю дистанцию бежит с определённой конечной скоростью. Тогда чем больше её скорость изначально будет, а следовательно и скорость Ахиллеса, тем быстрее он её догонит и перегонит. Логика №4: скорость черепахи зависит от скорости Ахиллеса. Любому человеку понятно, что Ахиллес, коли уж захотел как можно быстрее догнать и обогнать черепаху, будет стремиться бежать с максимальной своей скоростью. Предположим, 10м/c. Тогда нетрудно провести выкладки и высчитать время, через которое черепаха будет догнана, при условии, что она будет ползти со скоростью 1м/с. Можно и несколько других умозаключений вывести из этой задачи, которая и задачей-то не имеет права называться, так как не имеет одного конкретного решения, потому что условий для решения нет, а имеющиеся-не нужны по большому счёту. Вот что я по этому поводу думаю: в споре рождается истина, и логика бывает разная, смотря с какой стороны начать морковку грызть.

2   06.11.2014 - 21:13 Гусейн Гурбанов, Баку, Азербайджан пишет:

Завершая начинания Зенона на примере парадоксов разносторонне показавшего абсурдность применения МЕТОДА ЗАВУАЛИРОВАННОГО ОТРИЦАНИЯ (МЗО) к сфере чувственно постигаемого, основанного на отождествлении с математической точкой составляющих этой сферы, Леметр санкционировал законность применение МЗО к сфере умопостигаемого! Баланс в постижении обоих сфер нарушенный констатациями элейца «восстановился» благодаря предположениям бельгийского священника-физика… Не разобравшись с сутью апорий трудно противостоять научной интерпретации космологического вопроса!

3   28.12.2014 - 09:48 Vlad пишет:

По всё уменьшающей ее размер спирали, по спирали, по спирали, таким вот образом будет бежать Ахиллес, то конечно он достигнет в какой то момент черепаху! Но он и в другом случае ее может при этом достигнуть, представте, что скорость Ахиллеса будет при этом равна скорости летящей ружейной пули, либо даже летящей космической ракеты, у которой на самом деле, ее скорость в семь раз быстрее скорости летящей ружейной пули! А скорость черепахи по сравнению с этой таковой скоростью Ахиллеса будет при этом недостаточной, для того, что бы она могла бы при этом "ускользнуть" с прямолинейной линии "атаки" по ее тела, бегущего на таковой его скорости Ахиллеса! Вот и все! Парадокс может быть разрешен двумя сразу способами! в первом случае, при "бежании" Ахиллеса по постоянно уменьшающей свой диаметр спирали, при помощи "угловой" большей скорости Ахиллеса по отношению к скорости движущейся черепахи, а во втором случае же, когда Ахиллес будет иметь его гигантскую скорость, словно у ружейной пули, Ахиллес в этом случае, прямым его "попаданием" при его беге, в тело черепахи, догонит таким образом ее!!! Желаю вам счастья!!!

4   23.05.2015 - 08:54 моёимяпринадлежиттолькомне пишет:

известный парадокс. а ответ в том, что пространство является фрагментированным, а не бесконечно делимым. представьте, что пространство - это клетки на тетради, но в невероятное количество раз меньше по размеру. рано или поздно наступает момент, когда расстояние от Ахиллеса до черепахи уже нельзя разделить на два. Вместо этого Ахиллес переходит в "клетку", которая по вектору их движения сопоставима клетке, в которой находится черепаха. Они становятся "равны". И по тому же принципу Ахиллес оставляет черепаху далеко позади, выигрывает забег и чувствует несопоставимую ни с чем гордость об этом достижении.

5   08.06.2015 - 12:53 Николай пишет:

Задачу можно решать с разных позиций: с математических, физических, философских. И разумеется, со всех точек зрения можно доказать, что Ахиллес догонит черепаху, то есть существует столь короткий промежуток времени за который движущаяся черепаха, не пройдет никакого расстояния, а Ахиллес, движущийся в 10 раз быстрее этой "неподвижной черепахи", пройдет: то есть 10*0>0
В истории философии, на мой взгляд, решение этой задачи дал Галилей, и все мы давно и успешно им пользуемся, оно заключается в том, что движение (и значит скорость) объекта не является абсолютной величиной, а относительно относительно других объектов (извините за тавтологию). Таким образом, черепаха может двигаться, как вперед, так и назад, и оставаться неподвижной одновременно в зависимости от того относительно какого объекта мы ее рассматриваем. Таким образом, в системе Ахилесс-черепаха, они движутся навстречу друг другу со скор. = ск.Ах. - ск.череп.
Потом, правда, появился Эйнштейн, постулировавший существование объектов, чье движение не зависит от системы координат;абсолютно. Но это уже другая история, эти объекты (фотоны) не могут двигаться быстрее друг друга, и, действительно, по прямой друг друга не догонят. Правда, и по прямой они двигаться не умеют.
Все же нельзя исключать, что решение, данное Галилеем, не единственное и существует более эффективное или верное.

6   18.09.2015 - 15:57 Vlad пишет:

Вот другой при этом вопрос, заключается при этом в том, сможет ли Ахилес, бежащий с его прямо таки гигантской скоростью по Земле, при этом уклониться, от находящейся совсем рядом, от его линии пути, на малом расстоянии от него, и идущей координированно, к этой линии его пути, черепахи!!!

7   28.09.2015 - 12:25 Гость2015 пишет:

Если шаг Ахилеса взять за 1 м., то черепаху он обгонит когда сделает 1112 шагов, время и скорость при этом значения не имеют.

8   13.03.2017 - 13:13 DargothPeli пишет:

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