……自学课程(我自己搞的)。直到大约三年前我才把数学加入课程中,我喜欢逻辑以及逻辑学的方法已经有相当长一段时间了,最后翻到了戈特洛布·弗雷格(Gottlob Frege)写的《算术基础》(The Foundations of Arithmetic)——这是一部试图为数(他影响了集合论)以及数的运算提供纯逻辑框架的著作;但是,读这本书真让我热血沸腾,彻底看入迷了……
…self-study curriculum (created by me). I didn't bring math into the curriculum until about three years ago, I've been fond of logic and the methods of logic for quite some time and ended up finding "The Foundations of Arithmetic" by Gottlieb Frege - a treatise attempting to provide a purely logical framework for number (he influenced set theory) and the operations on number; but, reading it really fired me up, I was absorbed…
我在分析哲学课上读过《算术基础》(The Foundations of Arithmetic)和《论涵义与指称》(On Sense and Reference)。那是十五年前在美国。我同意大家根本没把他当成冷门人物。不然我们也不会有卡尔纳普(Carnap,那位分析哲学家)……
I read The Foundations of Arithmetic and On Sense and Reference for my analytic philosophy course. This was in the U.S. fifteen years ago. I agree that he was not treated as obscure at all. We wouldn't have Carnap (the analytic philosopher)…
在弗雷格的《算术基础》(The Foundations of Arithmetic)中,他不同意康德认为“2 + 12 = 14”这类命题是综合命题的看法(康德还拿大数作为例子来说明分析会失效!!!)。然而,一旦我们有了大语言模型,我们就可以……
In Frege's The Foundations of Arithmetic he disagrees with Kant that a proposition like "2 + 12 = 14" is synthetic (and Kant used large numbers as an example of how analysis would fail!!!). However, once we have a large language model we can…
……自学课程(我自己搞的)。直到大约三年前我才把数学加入课程中,我喜欢逻辑以及逻辑学的方法已经有相当长一段时间了,最后翻到了戈特洛布·弗雷格(Gottlob Frege)写的《算术基础》(The Foundations of Arithmetic)——这是一部试图为数(他影响了集合论)以及数的运算提供纯逻辑框架的著作;但是,读这本书真让我热血沸腾,彻底看入迷了……
…self-study curriculum (created by me). I didn't bring math into the curriculum until about three years ago, I've been fond of logic and the methods of logic for quite some time and ended up finding "The Foundations of Arithmetic" by Gottlieb Frege - a treatise attempting to provide a purely logical framework for number (he influenced set theory) and the operations on number; but, reading it really fired me up, I was absorbed…
我在分析哲学课上读过《算术基础》(The Foundations of Arithmetic)和《论涵义与指称》(On Sense and Reference)。那是十五年前在美国。我同意大家根本没把他当成冷门人物。不然我们也不会有卡尔纳普(Carnap,那位分析哲学家)……
I read The Foundations of Arithmetic and On Sense and Reference for my analytic philosophy course. This was in the U.S. fifteen years ago. I agree that he was not treated as obscure at all. We wouldn't have Carnap (the analytic philosopher)…
在弗雷格的《算术基础》(The Foundations of Arithmetic)中,他不同意康德认为“2 + 12 = 14”这类命题是综合命题的看法(康德还拿大数作为例子来说明分析会失效!!!)。然而,一旦我们有了大语言模型,我们就可以……
In Frege's The Foundations of Arithmetic he disagrees with Kant that a proposition like "2 + 12 = 14" is synthetic (and Kant used large numbers as an example of how analysis would fail!!!). However, once we have a large language model we can…
比如弗雷格的《算术基础》(Foundations of Arithmetic)?
Such as Frege's Foundations of Arithmetic?