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Top 10 Gottlob Frege Quotes (2024 Update)

Gottlob Frege Quote: “Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.”

1. “Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.”

— Gottlob Frege

Gottlob Frege Quote: “The thought: A logical inquiry.”

2. “The thought: A logical inquiry.”

— Gottlob Frege

Gottlob Frege Quote: “I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths.”

3. “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

Gottlob Frege Quote: “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 position by a letter from Mr. Bertrand Russell when the work was nearly through the press.”

4. “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 position by a letter from Mr. Bertrand Russell when the work was nearly through the press.”

— Gottlob Frege

Gottlob Frege Quote: “Having visual impressions is, of course, necessary for seeing things, but it is not sufficient. What must be added is not anything sensible. And it is precisely this that unlocks the outer world for us; for without this non-sensible something, each of us would remain locked up in his inner world.”

5. “Having visual impressions is, of course, necessary for seeing things, but it is not sufficient. What must be added is not anything sensible. And it is precisely this that unlocks the outer world for us; for without this non-sensible something, each of us would remain locked up in his inner world.”

— Gottlob Frege

Gottlob Frege Quote: “Arithmetic has began to totter.”

6. “Arithmetic has began to totter.”

— Gottlob Frege

Gottlob Frege Quote: “There is more danger of numerical sequences continued indefinitely than of trees growing up to heaven. Each will some time reach its greatest height.”

7. “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

Gottlob Frege Quote: “The aim of scientific work is truth. While we internally recognise something as true, we judge, and while we utter judgements, we assert.”

8. “The aim of scientific work is truth. While we internally recognise something as true, we judge, and while we utter judgements, we assert.”

— Gottlob Frege

Gottlob Frege Quote: “What are numbers? What is the nature of arithmetical truth?”

9. “What are numbers? What is the nature of arithmetical truth?”

— Gottlob Frege

Gottlob Frege Quote: “Thus the thought, for example, which we expressed in the Pythagorean theorem is timelessly true, true independently of whether anyone takes it to be true. It needs no bearer. It is not true for the first time when it is discovered, but is like a planet which, already before anyone has seen it, has been in interaction with other planets.”

10. “Thus the thought, for example, which we expressed in the Pythagorean theorem is timelessly true, true independently of whether anyone takes it to be true. It needs no bearer. It is not true for the first time when it is discovered, but is like a planet which, already before anyone has seen it, has been in interaction with other planets.”

— Gottlob Frege

Gottlob Frege Quote: “A scientist can hardly encounter anything more desirable than, just as a work is completed, to have its foundation give way.”

11. “A scientist can hardly encounter anything more desirable than, just as a work is completed, to have its foundation give way.”

— Gottlob Frege

Gottlob Frege Quote: “If anyone tried to contradict the statement that what is true is true independently of our recognizing it as such, he would by his very assertion contradict what he had asserted; he would be in a similar position to the Cretan who said that all Cretans are liars.”

12. “If anyone tried to contradict the statement that what is true is true independently of our recognizing it as such, he would by his very assertion contradict what he had asserted; he would be in a similar position to the Cretan who said that all Cretans are liars.”

— Gottlob Frege

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