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Advertiser, New.York, under date of Wash ington, Dec. alst, gives to the public the fol. lowing speculatiOns respecting Mir. Van Bu. ren, and others :-Tt corresponds with what was related in the same paper, few days ! previous, as having fallen from MT. Noble, in a speechin the Senate, during the last winter "ir. President, tNfr. Calhoun lsay sir, if you do not look out, the little bald-headed man from New-Y York, will beat you, sir !; say. he will beat you. sir-he has his horses in the stable, hNrnessed. and will beat you, sir" Although Mr. Van Buren's reception at Richmond, was not as cUFdial as had been anticipated, there were many weighty and grave state ma tiers discussed by those of the 1 Richmond juntO, and others, who attended 1 the caucus. It was important tO determine what subjects should be treated of in the mes- sage. The meeting of the convention at Richmond furnished an apology for the as. semblng of few choice spirits, from differ. ent sections of the United States. Ameeting of this kind at Washington, could not have assembled at this time. without exciting sus- piciOn: nor could it have been held here, without admitting General Green into the secrets of the party about to be organized for the support Of Mir. Van Buren, from which. owing to his attachment to Mir. Cal houn, it was thought prudent tO exclude him.

 Before adjusting and arranging matters for the message, preliminary question was to be settled, to wit, who was to be supported for the next President? Two candidates were presented, Mr. Calhoun. and MT. Van Buren. Mr. Calhoun, while Secretary of War, had admitted the power in the general government to construct internal improve rnents. and had recommended the commence ment of several important and expensive works. On this subject, whatever might be his present opinion, he was fully committed. Mir, Van Burcn had, several years since. in- troduced a resolution into the Senate, equivO- cal in it's terms. proposing an amendment to the constitution, so as to give this power to the general government, provided it was not already granted. The feelings of Virginia had been much embittered against Mir. Cal houn in the years 1929, 2S and 24, on account of the forces he arrayed against Mr. Craw- ford, and the zeal which he prosecuted the contest. Not only had Mir. Randolph brand- ed him in the Senate, by saying che hoped in God, if they broke down King John the Second, they should never have King John the Third to encounter; = but Mr. Ritchie had denominated him the war candidate. and

 he had found, by recent experience. 1t was 3

 serious annoyance to be assailed with his own

 denunciatOns.

 3 Virginia has her eye fixed on MT. Rives for

 this high station; but she considers his age

 and inexperience as insuperable objections 8 against offering him at present. By uniting

 with New-York at the next election, and

 placing him in the office of Secretary of State 0 she will he enabled to bring him forward al - the succeeding election, under favorable aus l pices.

 e MT. Van Buren prOfessed his willingness s to submit the question to "the great Repub- t lican party" and to abide the result. There r is not as much magnanmity in submitting a the purpose, as there is certainty in what

 will be the decision. After duly weighing, and considering. (as MT. Branch would say)

 the whole subject, it was agreed to nominate

 the Hon. Martin Van Buren. of the State of

 New York. now Secretary of State, regard less of whatever might be said about his be- ing "taken from the line of safe precedents." " This being arranged. the subject of the off ces, under the contemplated dynasty, was taken up. As to the New England states they were to be treated collectively, as here tics. So many of the individuals of those States, however, as had the Jackson Rcpub- lican seal put on them, should, if they perse- ! vered in well doing, have due share of the offices, from the grade of inspector down. ! wards; and if Mr. WOodbury renounced Mr. Calhoun in due aeason. he should have the promise of being Secretary of the Navy; Mfr. Rives Secretary of State; Mr. Louis Me Lane Secretary of the Treasury, and Mr.

 Berrien, (for the benefit of Georgia.) to con tinue Attorney General. The office of Sec retary of War was not disposed of.

 CONGREss.-PostGge on Periodicals.-In the House Of Representatives on Thursday last, , Mir. Verplanck, of New-York submitted for consideration. the following :-

 Resolved, Shat the Committee on the Post Office and Post Roads be instructed to inquire and report on the expediency of reducing the rate of postage on perlodical publications. and placing them at the same rate and under the same regulation with newspapers.

 In offering this resolution,

 MT. Verplanck said that il was necessary to observe that the present rate of postage on periodical publications was about three times that upon newspapers. 1t was properly so graduated when that species of publication had been confined to the higher objects of criticism and polite literature. But. it could not have escaped the attention of any one. that it had gradually acquired another char acter. having become extensively subservient to objects of religious snd moral character ito the diffusion of a knowledge Of the pop uIar sciences and tO inc nurpOses of general