vi
Preface
Thesixthchaptercontains
asurvey,withoutproofs,ofsomeresults
ofA.Khinchineandtheauthorofthelimitationsonthe
applicabilityoftheordinaryandofthestronglawoflargenum-
bers.Thebibliographycontainssomerecentworkswhichshould
beofinterestfromthepointofviewofthefoundationsofthe
subject.
Iwishto express mywarm thanksto Mr. Khinchine, whohasread carefullythewhole manuscript
andproposed several
improvements.
KljasmanearMoscow,Easter1933.A. Kolmogorov