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|EXHIBIT 31.1
        CERTIFICATIONS
        I, Gosse B. Bruinsma, M.D., certify that:
        1.  I have reviewed this quarterly report on Form 10-Q of Axonyx Inc.;
        2.  Based on my knowledge, this report does not contain any untrue statement of a
          material fact or omit to state a material fact necessary to make the statements
          made, in light of the circumstances under which such statements were made, not
          misleading with respect to the period covered by this report;
        3.  Based on my knowledge, the financial statements, and other financial information
          included in this report, fairly present in all material respects the financial
          condition, results of operations and cash flows of the registrant as of, and
          for, the periods presented in this report;
        4.  The registrants other certifying officer and I are responsible for
          establishing and maintaining disclosure controls and procedures (as defined in
          Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal control over financial
          reporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f)) for the
          registrant and have:
        a)  designed such disclosure controls and procedures, or caused such disclosure
          controls and procedures to be designed under our supervison, to ensure that
          material information relating to the registrant, including its consolidated
          subsidiaries, is made known to us by others within those entities, particularly
          during the period in which this report is being prepared;
        b)  designed such internal control over financial reporting, or caused such internal
control over financial reporting to be designed under our supervision, to
provide reasonable assurance regarding the reliability of financial reporting
and the preparation of financial statements for external purposes in accordance
with generally accepted accounting principles;

        c)  evaluated the effectiveness of the registrants disclosure controls and
          procedures and presented in this report our conclusions about the effectiveness
          of the disclosure controls and procedures, as of the end of the period covered
          by this report based on such evaluation; and

        d)  disclosed in this report any change in the registrants internal control
          over financial reporting that occurred during the registrants most recent
          fiscal quarter (the registrants fourth fiscal quarter in the case of
          annual report) that has materially affected, or is reasonably likely to
          materially affect, the registrants internal control over financial
          reporting; and


        5.  The registrants other certifying officer and I have disclosed, based on
          our most recent evaluation of internal control over financial reporting, to the
          registrants auditors and the audit committee of the registrants
          board of directors (or persons performing the equivalent functions):

        a)  all significant deficiencies and material weaknesses in the design or operation
          of internal control over financial reporting which are reasonably likely to
          adversely affect the registrants ability to record, process, summarize and
          report financial information; and

        b)  any fraud, whether or not material, that involves management or other employees
          who have a significant role in the registrants internal control over
          financial reporting.
        Date:  May 10, 2005
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|                                      |  | /s/ Gosse B. Bruinsma, M.D.
|------------------------------------- |  | ---------------------------
|                                      | 
|                                      |  | Gosse B. Bruinsma, M.D.    
|                                      |  |                            
|President and Chief Executive Officer

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