O D . Pradel le, Intuition et ide" 1 . , 1 ,, ,, I . a ites. · phen~men? ogie des objets ,nathemattques (Paris: PUF, 2020 ) Gabriele Barate/li L )o minique Pradelle's most recent book, Intuition et Idéalité . Ph ,_ 1 . h , • . s. eno meno ogte des bl 'e ts mat ematiques, represents a mai or contribution to b th H I d. 0 · I h · · f h . 0 u sse r stu 1es and h e philosopluca t eonzat1on o t e exact sc1ences. The enr, ·re t b d r · I · I f · . ext can e r ea as a ( ia hr quasi-dia og1ca con rontat1on w1.th Husserl 's own phenomenol l . . ;:, · · f · · I • ogy cu mm ating - 0 rhe expos 1tion o 1.ts aporet1c eone us10ns as well as the trac,·ng of a h • l 1 I . new t eo ret1 ca pa rh in rhe phenorneno ogy of mathemat1es. Despite th e cr iti cai remark s pre se nt ed by Pradell _ e, Husserl_ emerges none~heless as the prominent fi gur e in rhe philo so phi - ca l s cene mterested m the foundat1ons of the formai seiences in rhe fìr st part of che rwentieth century. Pradelle manages to revitalize this pivotal, butto a certain extent n eg lected , aspect of Husserl's thought without making ic the object of a hi stori ca l investigation. He shows his philosophy in action, as a stili mea ningfu l and li vi ng project. The radieality of Husserl's demands, together with the methodo lo gy and che s olutions he offered are eritically treated and thus indirectly clarifìed. The r es ult is an authentic return to the originai question that motivated the establishment of a " phenomenological science," namely, as Husserl declared in the very fìrst se ntenc e of the Preface to the Logische Untersuchungen, the "philosophical clarification of pure mathematies" - where the emphasis should be put on its "pure," that is, its formai or purely categoria!, character. Following Husserl's teaching, the elucidation of pure mathematics entails the ex- hibition of the way of givenness proper to its categoria! formations, that is, che ex- hibition of the sourees of evidence grounding both their ideai _object1v1_ty a~d th e apodicticity of the a priori propositions expressing their properties._ Desp1te h1_s own ~ ub se quent partial critique, Husserl's most articulated att~mpt to ~ive such e~,d~nce 15 provided by the theory of categoria! intuition in the Sixth Logi~al Inve s_ ngati on. f ntuition et idéalités is in a certain sense a painstaking deconstrucnon of th1s theory an d d. h · Id ot be correct The combma - . a 1 agnosis that exposes the reasons w Y 1t cou n · H 1 . tion · h h h' h · 5 meant to overcome usser s WJt • t e elaboration of an origina] account w IC 1 . . • 1 . s horr . . . f I ·ca! reason- an rnvest1 gat 1on t 1ar t . c om ings makes it an essay in the cntique_ ?~ 1 . · :blt y as an au th enti c raccs the limits of formai thinking while leg1t1rn1zmg its poss1 J J '><JtJ rc, f k t O nowledge. 1 M . a,n q . . h . . uc st10 n and marn t es1s . ,·1 . f h. 6 I . 1 011 g ro 11clu s1011 . lt (; oo k ·. · 1'l chaptcrs : 11tt • 1 • . • dia p 18 corn puscd of an lntrodm:t,on, · 1 t ,·l ed ro i1irs, c11d111μ 111 • 1 te rs f Il nel more Le :1 Pr ec i. 0 ow a pat h frorn genera I to more a . se r ec a · l . I a rgum cnt:s. P 1 tu at1011 of the ma in thcscs a ne e . 24 /l 2 W70- 36 ()01: I0.4J 1 -