History of terms type 1 error and type 2 error? The terms "type I" (or "alpha) and "type II" (or "beta) error, to denote false positive and false negative, are often used. What is the history of those terms?

Neyman and Pearson were the pioneers in formulating the integral framework of the modern theory of hypothesis testing that we are acquainted with. While I cannot assert with absolute certainty, it is plausible their works were instrumental in developing or, for the matter, popularising the nomenclatures in question.
From [I]:

From [II]:

From [III]:


References:
[I] J. NEYMAN, PH.D, E. S. PEARSON, D.Sc, ON THE USE AND INTERPRETATION OF CERTAIN TEST CRITERIA FOR PURPOSES OF STATISTICAL INFERENCE PART I, Biometrika, Volume 20A, Issue 1-2, December 1928, Pages 175–240, https://doi.org/10.1093/biomet/20A.1-2.175.
[II] IX. On the problem of the most efficient tests of statistical hypotheses,
Jerzy Neyman, Egon Sharpe Pearson, 16 February 1933, https://doi.org/10.1098/rsta.1933.0009.
[III] Neyman, J., & Pearson, E. (1933). The testing of statistical hypotheses in relation to probabilities a priori. Mathematical Proceedings of the Cambridge Philosophical Society, 29(4), 492-510. doi:10.1017/S030500410001152X.
