Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.
Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician. - Gottlob Frege
Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.
- Gottlob Frege
There is more danger of numerical sequences continued indefinitely than of trees growing up to heaven. Each will some time reach its greatest height. - Gottlob Frege
There is more danger of numerical sequences continued indefinitely than of trees growing up to heaven. Each will some time reach its greatest height.
It is possible, of course, to operate with figures mechanically, just as it is possible to speak like a parrot: but that hardly deserves the names of… - Gottlob Frege
It is possible, of course, to operate with figures mechanically, just as it is possible to speak like a parrot: but that hardly deserves the names of…
What are numbers? What is the nature of arithmetical truth? - Gottlob Frege
What are numbers? What is the nature of arithmetical truth?
Arithmetic has began to totter. - Gottlob Frege
Arithmetic has began to totter.
...one can hardly deny that mankind has a common store of thoughts which is transmitted from one generation to another. - Gottlob Frege
...one can hardly deny that mankind has a common store of thoughts which is transmitted from one generation to another.
A scientist can hardly meet with anything more undesirable than to have the foundations give way just as the work is finished. I was put in this posi… - Gottlob Frege
A scientist can hardly meet with anything more undesirable than to have the foundations give way just as the work is finished. I was put in this posi…
I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths. - Gottlob Frege
I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths.
'Facts, facts, facts,' cries the scientist if he wants to emphasize the necessity of a firm foundation for science. What is a fact? A fact is a thoug… - Gottlob Frege
'Facts, facts, facts,' cries the scientist if he wants to emphasize the necessity of a firm foundation for science. What is a fact? A fact is a thoug…
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