"I only tell fictitious stories about the little animals."
Leeuwenhoek addressed how he was perceived by others, which concerned him even though as a commited empiricist, he had to insist: if I see it, it exists. For example, in this letter he wanted to see how:
the blood in its circulation is poured from the smallest branches of the arteries into the smallest branches of the venae, and that therefore the arteries and the venae are so to say connected.
Discussing Fig. 2, vessels in the breathing tube of a fly he came up with some very large numbers:
however accurately I tried to observe them, I could not see the junction and when the extreme ramifications appeared to me more than two hundred thousand times smaller than a hair from my beard I yet saw no junction.
He was still several years away from seeing the passage of red blood cells through the capillaries between arteries and veins, but meanwhile, he had expressed his problem: Two hundred thousand times smaller than a hair that people could barely see in the first place?
And as this computation of proportions may appear strange to many, I will show how I made my calculation. I have a scaled brass ruler and accurately observe through a good microscope how many divisions one of the thickest hairs from my beard will cover on the scaled ruler; for instance, the diameter of such a hair seen through a microscope has the length of 50 divisions. I then draw on the brass ruler, with the point of a needle, a line such as will appear to my naked eye like the thinnest vein of the fly seen through my microscope
Then he did the math, and the two hundred thousand grew by an order of magnitude!
I think that if 9 of such lines as I drew with the point of a needle lay side by side they would equal 1/50 of the diameter of a hair. If therefore 450 diameters of the thinnest veins, distinctly seen by me in a fly, equal the diameter of a hair from my beard, then a hair from my beard is two million times thicker than the thinnest blood-vessels of a fly.
"Two million times" was very difficult for people to accept. At the end of this letter, he addressed that problem directly:
As it has often reached my ear that I only tell fictitious stories about the little animals, and whereas I suffer many contradictions, and as there are gentlemen in France who venture to say that those are not living little animals which I show, and that if such water be boiled the particles which are supposed to be animals still continue to move, yet I have demonstrated the contrary to several distinguished Gentlemen. And I do not hesitate to say that the above-mentioned gentlemen have not advanced so far that they are able to make good observations.
He tried personal testimony:
As for me, I can say with perfect truth that I can put the smallest sort of which I shall here speak as distinct before my eyes and can see that they live, as if we saw with our naked eyes little flies or gnats flitting about in the air, although they are more than a hundred million times smaller than a coarse grain of sand; for not only do I observe their progress both when they hurry and when they slacken speed, but I see them turn about, stand still and in the end sometimes die; and those that are bigger I can distinctly see running along, as plainly as we see mice before our naked eyes; nay, in some I can even see the interior parts of their mouths being protruded or retracted, as if they played with them.